Greatest Common Factor of 307440 and 307447

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 307440, 307447 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307440 and 307447 is 7.

GCF(307440,307447) = 7

GCF of 307440 and 307447

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

GCF of:
and

Greatest Common Factor of 307440 and 307447

GCF of 307440 and 307447 is 7

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

Prime Factorization of 307447


7 307447
167 43921
263 263
1

Prime factors of 307447 are 7,167,263. Prime factorization of 307447 in exponential form is:

307447 = 71×1671×2631

∴ So by taking common prime factors GCF of 307440 and 307447 is 7

Greatest Common Factor of 307440 and 307447 by matching factors method

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

Factors of 307447

List of positive integer factors of 307447 that divides 307447 without a remainder.

1,7,167,263,1169,1841,43921,307447

Greatest Common Factor

We found the factors and prime factorization of 307440 and 307447. The biggest common factor number is the GCF number.
So the greatest common factor 307440 and 307447 is 7.

Also check out the Least Common Multiple of 307440 and 307447

Properties of GCF 307440 and 307447

(i) The GCF of 307440 and 307447 is associative

GCF of 307440 and 307447 = GCF of 307447 and 307440

Related Greatest Common Factor of 307440

Related Greatest Common Factor of 307447

Frequently Asked Questions on GCF of 307440 and 307447

1. What is the GCF of 307440 and 307447?

Answer: GCF of 307440 and 307447 is 7.

2. 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.

3. What are the Factors of 307447?

Answer: Factors of 307447 are 1, 7, 167, 263, 1169, 1841, 43921, 307447. There are 8 integers that are factors of 307447. The greatest factor of 307447 is 307447.

4. How to Find the GCF of 307440 and 307447?

Answer:

Greatest Common Factor of 307440 and 307447 = 7

Step 1: 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 2: Find the prime factorization of 307447

307447 = 7 x 167 x 263

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

GCF = 7

Step 4: Therefore, the greatest common factor of 307440 and 307447 is 7