What is the Greatest Common Factor of 79316 and 79336?

Greatest common factor (GCF) of 79316 and 79336 is 4.

GCF(79316,79336) = 4

We will now calculate the prime factors of 79316 and 79336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79316 and 79336.

How to find the GCF of 79316 and 79336?

We will first find the prime factorization of 79316 and 79336. After we will calculate the factors of 79316 and 79336 and find the biggest common factor number .

Step-1: Prime Factorization of 79316

Prime factors of 79316 are 2, 79, 251. Prime factorization of 79316 in exponential form is:

79316 = 2² × 79¹ × 251¹

Step-2: Prime Factorization of 79336

Prime factors of 79336 are 2, 47, 211. Prime factorization of 79336 in exponential form is:

79336 = 2³ × 47¹ × 211¹

Step-3: Factors of 79316

List of positive integer factors of 79316 that divides 79316 without a remainder.

1, 2, 4, 79, 158, 251, 316, 502, 1004, 19829, 39658

Step-4: Factors of 79336

List of positive integer factors of 79336 that divides 79316 without a remainder.

1, 2, 4, 8, 47, 94, 188, 211, 376, 422, 844, 1688, 9917, 19834, 39668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79316 and 79336. The biggest common factor number is the GCF number.
So the greatest common factor 79316 and 79336 is 4.

Also check out the Least Common Multiple of 79316 and 79336