Greatest Common Factor of 316440 and 316448

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 316440, 316448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316440 and 316448 is 8.

GCF(316440,316448) = 8

GCF of 316440 and 316448

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

GCF of:
and

Greatest Common Factor of 316440 and 316448

GCF of 316440 and 316448 is 8

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

Prime Factorization of 316448


2 316448
2 158224
2 79112
2 39556
2 19778
11 9889
29 899
31 31
1

Prime factors of 316448 are 2,11,29,31. Prime factorization of 316448 in exponential form is:

316448 = 25×111×291×311

∴ So by taking common prime factors GCF of 316440 and 316448 is 8

Greatest Common Factor of 316440 and 316448 by matching factors method

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

Factors of 316448

List of positive integer factors of 316448 that divides 316448 without a remainder.

1,2,4,8,11,16,22,29,31,32,44,58,62,88,116,124,176,232,248,319,341,352,464,496,638,682,899,928,992,1276,1364,1798,2552,2728,3596,5104,5456,7192,9889,10208,10912,14384,19778,28768,39556,79112,158224,316448

Greatest Common Factor

We found the factors and prime factorization of 316440 and 316448. The biggest common factor number is the GCF number.
So the greatest common factor 316440 and 316448 is 8.

Also check out the Least Common Multiple of 316440 and 316448

Properties of GCF 316440 and 316448

(i) The GCF of 316440 and 316448 is associative

GCF of 316440 and 316448 = GCF of 316448 and 316440

Related Greatest Common Factor of 316440

Related Greatest Common Factor of 316448

Frequently Asked Questions on GCF of 316440 and 316448

1. What is the GCF of 316440 and 316448?

Answer: GCF of 316440 and 316448 is 8.

2. 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.

3. What are the Factors of 316448?

Answer: Factors of 316448 are 1, 2, 4, 8, 11, 16, 22, 29, 31, 32, 44, 58, 62, 88, 116, 124, 176, 232, 248, 319, 341, 352, 464, 496, 638, 682, 899, 928, 992, 1276, 1364, 1798, 2552, 2728, 3596, 5104, 5456, 7192, 9889, 10208, 10912, 14384, 19778, 28768, 39556, 79112, 158224, 316448. There are 48 integers that are factors of 316448. The greatest factor of 316448 is 316448.

4. How to Find the GCF of 316440 and 316448?

Answer:

Greatest Common Factor of 316440 and 316448 = 8

Step 1: Find the prime factorization of 316440

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

Step 2: Find the prime factorization of 316448

316448 = 2 x 2 x 2 x 2 x 2 x 11 x 29 x 31

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 316440 and 316448 is 8