What is the Greatest Common Factor of 79616 and 79626?

Greatest common factor (GCF) of 79616 and 79626 is 2.

GCF(79616,79626) = 2

We will now calculate the prime factors of 79616 and 79626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79616 and 79626.

How to find the GCF of 79616 and 79626?

We will first find the prime factorization of 79616 and 79626. After we will calculate the factors of 79616 and 79626 and find the biggest common factor number .

Step-1: Prime Factorization of 79616

Prime factors of 79616 are 2, 311. Prime factorization of 79616 in exponential form is:

79616 = 2⁸ × 311¹

Step-2: Prime Factorization of 79626

Prime factors of 79626 are 2, 3, 23, 577. Prime factorization of 79626 in exponential form is:

79626 = 2¹ × 3¹ × 23¹ × 577¹

Step-3: Factors of 79616

List of positive integer factors of 79616 that divides 79616 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 311, 622, 1244, 2488, 4976, 9952, 19904, 39808

Step-4: Factors of 79626

List of positive integer factors of 79626 that divides 79616 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 577, 1154, 1731, 3462, 13271, 26542, 39813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79616 and 79626. The biggest common factor number is the GCF number.
So the greatest common factor 79616 and 79626 is 2.

Also check out the Least Common Multiple of 79616 and 79626