Greatest Common Factor of 316436 and 316440

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 316436, 316440 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316436 and 316440 is 4.

GCF(316436,316440) = 4

GCF of 316436 and 316440

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

GCF of:
and

Greatest Common Factor of 316436 and 316440

GCF of 316436 and 316440 is 4

Prime Factorization of 316436


2 316436
2 158218
239 79109
331 331
1

Prime factors of 316436 are 2,239,331. Prime factorization of 316436 in exponential form is:

316436 = 22×2391×3311

Prime Factorization of 316440


2 316440
2 158220
2 79110
3 39555
3 13185
3 4395
5 1465
293 293
1

Prime factors of 316440 are 2,3,5,293. Prime factorization of 316440 in exponential form is:

316440 = 23×33×51×2931

∴ So by taking common prime factors GCF of 316436 and 316440 is 4

Greatest Common Factor of 316436 and 316440 by matching factors method

Factors of 316436

List of positive integer factors of 316436 that divides 316436 without a remainder.

1,2,4,239,331,478,662,956,1324,79109,158218,316436

Factors of 316440

List of positive integer factors of 316440 that divides 316440 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,293,360,540,586,879,1080,1172,1465,1758,2344,2637,2930,3516,4395,5274,5860,7032,7911,8790,10548,11720,13185,15822,17580,21096,26370,31644,35160,39555,52740,63288,79110,105480,158220,316440

Greatest Common Factor

We found the factors and prime factorization of 316436 and 316440. The biggest common factor number is the GCF number.
So the greatest common factor 316436 and 316440 is 4.

Also check out the Least Common Multiple of 316436 and 316440

Properties of GCF 316436 and 316440

(i) The GCF of 316436 and 316440 is associative

GCF of 316436 and 316440 = GCF of 316440 and 316436

Related Greatest Common Factor of 316436

Related Greatest Common Factor of 316440

Frequently Asked Questions on GCF of 316436 and 316440

1. What is the GCF of 316436 and 316440?

Answer: GCF of 316436 and 316440 is 4.

2. What are the Factors of 316436?

Answer: Factors of 316436 are 1, 2, 4, 239, 331, 478, 662, 956, 1324, 79109, 158218, 316436. There are 12 integers that are factors of 316436. The greatest factor of 316436 is 316436.

3. What are the Factors of 316440?

Answer: Factors of 316440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 293, 360, 540, 586, 879, 1080, 1172, 1465, 1758, 2344, 2637, 2930, 3516, 4395, 5274, 5860, 7032, 7911, 8790, 10548, 11720, 13185, 15822, 17580, 21096, 26370, 31644, 35160, 39555, 52740, 63288, 79110, 105480, 158220, 316440. There are 64 integers that are factors of 316440. The greatest factor of 316440 is 316440.

4. How to Find the GCF of 316436 and 316440?

Answer:

Greatest Common Factor of 316436 and 316440 = 4

Step 1: Find the prime factorization of 316436

316436 = 2 x 2 x 239 x 331

Step 2: Find the prime factorization of 316440

316440 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 293

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 316436 and 316440 is 4