What is the Greatest Common Factor of 79616 and 79622?

Greatest common factor (GCF) of 79616 and 79622 is 2.

GCF(79616,79622) = 2

We will now calculate the prime factors of 79616 and 79622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79616 and 79622.

How to find the GCF of 79616 and 79622?

We will first find the prime factorization of 79616 and 79622. After we will calculate the factors of 79616 and 79622 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 79622

Prime factors of 79622 are 2, 41, 971. Prime factorization of 79622 in exponential form is:

79622 = 2¹ × 41¹ × 971¹

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 79622

List of positive integer factors of 79622 that divides 79616 without a remainder.

1, 2, 41, 82, 971, 1942, 39811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79616 and 79622. The biggest common factor number is the GCF number.
So the greatest common factor 79616 and 79622 is 2.

Also check out the Least Common Multiple of 79616 and 79622