Greatest Common Factor of 316404 and 316408

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 316404, 316408 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316404 and 316408 is 4.

GCF(316404,316408) = 4

GCF of 316404 and 316408

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

GCF of:
and

Greatest Common Factor of 316404 and 316408

GCF of 316404 and 316408 is 4

Prime Factorization of 316404


2 316404
2 158202
3 79101
3 26367
11 8789
17 799
47 47
1

Prime factors of 316404 are 2,3,11,17,47. Prime factorization of 316404 in exponential form is:

316404 = 22×32×111×171×471

Prime Factorization of 316408


2 316408
2 158204
2 79102
39551 39551
1

Prime factors of 316408 are 2,39551. Prime factorization of 316408 in exponential form is:

316408 = 23×395511

∴ So by taking common prime factors GCF of 316404 and 316408 is 4

Greatest Common Factor of 316404 and 316408 by matching factors method

Factors of 316404

List of positive integer factors of 316404 that divides 316404 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,47,51,66,68,94,99,102,132,141,153,187,188,198,204,282,306,374,396,423,517,561,564,612,748,799,846,1034,1122,1551,1598,1683,1692,2068,2244,2397,3102,3196,3366,4653,4794,6204,6732,7191,8789,9306,9588,14382,17578,18612,26367,28764,35156,52734,79101,105468,158202,316404

Factors of 316408

List of positive integer factors of 316408 that divides 316408 without a remainder.

1,2,4,8,39551,79102,158204,316408

Greatest Common Factor

We found the factors and prime factorization of 316404 and 316408. The biggest common factor number is the GCF number.
So the greatest common factor 316404 and 316408 is 4.

Also check out the Least Common Multiple of 316404 and 316408

Properties of GCF 316404 and 316408

(i) The GCF of 316404 and 316408 is associative

GCF of 316404 and 316408 = GCF of 316408 and 316404

Related Greatest Common Factor of 316404

Related Greatest Common Factor of 316408

Frequently Asked Questions on GCF of 316404 and 316408

1. What is the GCF of 316404 and 316408?

Answer: GCF of 316404 and 316408 is 4.

2. What are the Factors of 316404?

Answer: Factors of 316404 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 47, 51, 66, 68, 94, 99, 102, 132, 141, 153, 187, 188, 198, 204, 282, 306, 374, 396, 423, 517, 561, 564, 612, 748, 799, 846, 1034, 1122, 1551, 1598, 1683, 1692, 2068, 2244, 2397, 3102, 3196, 3366, 4653, 4794, 6204, 6732, 7191, 8789, 9306, 9588, 14382, 17578, 18612, 26367, 28764, 35156, 52734, 79101, 105468, 158202, 316404. There are 72 integers that are factors of 316404. The greatest factor of 316404 is 316404.

3. What are the Factors of 316408?

Answer: Factors of 316408 are 1, 2, 4, 8, 39551, 79102, 158204, 316408. There are 8 integers that are factors of 316408. The greatest factor of 316408 is 316408.

4. How to Find the GCF of 316404 and 316408?

Answer:

Greatest Common Factor of 316404 and 316408 = 4

Step 1: Find the prime factorization of 316404

316404 = 2 x 2 x 3 x 3 x 11 x 17 x 47

Step 2: Find the prime factorization of 316408

316408 = 2 x 2 x 2 x 39551

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 316404 and 316408 is 4