What is the Greatest Common Factor of 79656 and 79664?

Greatest common factor (GCF) of 79656 and 79664 is 8.

GCF(79656,79664) = 8

We will now calculate the prime factors of 79656 and 79664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79656 and 79664.

How to find the GCF of 79656 and 79664?

We will first find the prime factorization of 79656 and 79664. After we will calculate the factors of 79656 and 79664 and find the biggest common factor number .

Step-1: Prime Factorization of 79656

Prime factors of 79656 are 2, 3, 3319. Prime factorization of 79656 in exponential form is:

79656 = 2³ × 3¹ × 3319¹

Step-2: Prime Factorization of 79664

Prime factors of 79664 are 2, 13, 383. Prime factorization of 79664 in exponential form is:

79664 = 2⁴ × 13¹ × 383¹

Step-3: Factors of 79656

List of positive integer factors of 79656 that divides 79656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3319, 6638, 9957, 13276, 19914, 26552, 39828

Step-4: Factors of 79664

List of positive integer factors of 79664 that divides 79656 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 383, 766, 1532, 3064, 4979, 6128, 9958, 19916, 39832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79656 and 79664. The biggest common factor number is the GCF number.
So the greatest common factor 79656 and 79664 is 8.

Also check out the Least Common Multiple of 79656 and 79664