What is the Greatest Common Factor of 79258 and 79264?

Greatest common factor (GCF) of 79258 and 79264 is 2.

GCF(79258,79264) = 2

We will now calculate the prime factors of 79258 and 79264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79258 and 79264.

How to find the GCF of 79258 and 79264?

We will first find the prime factorization of 79258 and 79264. After we will calculate the factors of 79258 and 79264 and find the biggest common factor number .

Step-1: Prime Factorization of 79258

Prime factors of 79258 are 2, 23, 1723. Prime factorization of 79258 in exponential form is:

79258 = 2¹ × 23¹ × 1723¹

Step-2: Prime Factorization of 79264

Prime factors of 79264 are 2, 2477. Prime factorization of 79264 in exponential form is:

79264 = 2⁵ × 2477¹

Step-3: Factors of 79258

List of positive integer factors of 79258 that divides 79258 without a remainder.

1, 2, 23, 46, 1723, 3446, 39629

Step-4: Factors of 79264

List of positive integer factors of 79264 that divides 79258 without a remainder.

1, 2, 4, 8, 16, 32, 2477, 4954, 9908, 19816, 39632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79258 and 79264. The biggest common factor number is the GCF number.
So the greatest common factor 79258 and 79264 is 2.

Also check out the Least Common Multiple of 79258 and 79264