Greatest Common Factor of 307436 and 307440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 307436, 307440 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307436 and 307440 is 4.

GCF(307436,307440) = 4

GCF of 307436 and 307440

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 307436 and 307440

GCF of 307436 and 307440 is 4

Prime Factorization of 307436


2 307436
2 153718
151 76859
509 509
1

Prime factors of 307436 are 2,151,509. Prime factorization of 307436 in exponential form is:

307436 = 22×1511×5091

Prime Factorization of 307440


2 307440
2 153720
2 76860
2 38430
3 19215
3 6405
5 2135
7 427
61 61
1

Prime factors of 307440 are 2,3,5,7,61. Prime factorization of 307440 in exponential form is:

307440 = 24×32×51×71×611

∴ So by taking common prime factors GCF of 307436 and 307440 is 4

Greatest Common Factor of 307436 and 307440 by matching factors method

Factors of 307436

List of positive integer factors of 307436 that divides 307436 without a remainder.

1,2,4,151,302,509,604,1018,2036,76859,153718,307436

Factors of 307440

List of positive integer factors of 307440 that divides 307440 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,61,63,70,72,80,84,90,105,112,120,122,126,140,144,168,180,183,210,240,244,252,280,305,315,336,360,366,420,427,488,504,549,560,610,630,720,732,840,854,915,976,1008,1098,1220,1260,1281,1464,1680,1708,1830,2135,2196,2440,2520,2562,2745,2928,3416,3660,3843,4270,4392,4880,5040,5124,5490,6405,6832,7320,7686,8540,8784,10248,10980,12810,14640,15372,17080,19215,20496,21960,25620,30744,34160,38430,43920,51240,61488,76860,102480,153720,307440

Greatest Common Factor

We found the factors and prime factorization of 307436 and 307440. The biggest common factor number is the GCF number.
So the greatest common factor 307436 and 307440 is 4.

Also check out the Least Common Multiple of 307436 and 307440

Properties of GCF 307436 and 307440

(i) The GCF of 307436 and 307440 is associative

GCF of 307436 and 307440 = GCF of 307440 and 307436

Related Greatest Common Factor of 307436

Related Greatest Common Factor of 307440

Frequently Asked Questions on GCF of 307436 and 307440

1. What is the GCF of 307436 and 307440?

Answer: GCF of 307436 and 307440 is 4.

2. What are the Factors of 307436?

Answer: Factors of 307436 are 1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436. There are 12 integers that are factors of 307436. The greatest factor of 307436 is 307436.

3. What are the Factors of 307440?

Answer: Factors of 307440 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 61, 63, 70, 72, 80, 84, 90, 105, 112, 120, 122, 126, 140, 144, 168, 180, 183, 210, 240, 244, 252, 280, 305, 315, 336, 360, 366, 420, 427, 488, 504, 549, 560, 610, 630, 720, 732, 840, 854, 915, 976, 1008, 1098, 1220, 1260, 1281, 1464, 1680, 1708, 1830, 2135, 2196, 2440, 2520, 2562, 2745, 2928, 3416, 3660, 3843, 4270, 4392, 4880, 5040, 5124, 5490, 6405, 6832, 7320, 7686, 8540, 8784, 10248, 10980, 12810, 14640, 15372, 17080, 19215, 20496, 21960, 25620, 30744, 34160, 38430, 43920, 51240, 61488, 76860, 102480, 153720, 307440. There are 120 integers that are factors of 307440. The greatest factor of 307440 is 307440.

4. How to Find the GCF of 307436 and 307440?

Answer:

Greatest Common Factor of 307436 and 307440 = 4

Step 1: Find the prime factorization of 307436

307436 = 2 x 2 x 151 x 509

Step 2: Find the prime factorization of 307440

307440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 307436 and 307440 is 4