What is the Greatest Common Factor of 79904 and 79916?

Greatest common factor (GCF) of 79904 and 79916 is 4.

GCF(79904,79916) = 4

We will now calculate the prime factors of 79904 and 79916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79904 and 79916.

How to find the GCF of 79904 and 79916?

We will first find the prime factorization of 79904 and 79916. After we will calculate the factors of 79904 and 79916 and find the biggest common factor number .

Step-1: Prime Factorization of 79904

Prime factors of 79904 are 2, 11, 227. Prime factorization of 79904 in exponential form is:

79904 = 2⁵ × 11¹ × 227¹

Step-2: Prime Factorization of 79916

Prime factors of 79916 are 2, 19979. Prime factorization of 79916 in exponential form is:

79916 = 2² × 19979¹

Step-3: Factors of 79904

List of positive integer factors of 79904 that divides 79904 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 227, 352, 454, 908, 1816, 2497, 3632, 4994, 7264, 9988, 19976, 39952

Step-4: Factors of 79916

List of positive integer factors of 79916 that divides 79904 without a remainder.

1, 2, 4, 19979, 39958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79904 and 79916. The biggest common factor number is the GCF number.
So the greatest common factor 79904 and 79916 is 4.

Also check out the Least Common Multiple of 79904 and 79916