What is the Greatest Common Factor of 65680 and 65696?

Greatest common factor (GCF) of 65680 and 65696 is 16.

GCF(65680,65696) = 16

We will now calculate the prime factors of 65680 and 65696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65680 and 65696.

How to find the GCF of 65680 and 65696?

We will first find the prime factorization of 65680 and 65696. After we will calculate the factors of 65680 and 65696 and find the biggest common factor number .

Step-1: Prime Factorization of 65680

Prime factors of 65680 are 2, 5, 821. Prime factorization of 65680 in exponential form is:

65680 = 2⁴ × 5¹ × 821¹

Step-2: Prime Factorization of 65696

Prime factors of 65696 are 2, 2053. Prime factorization of 65696 in exponential form is:

65696 = 2⁵ × 2053¹

Step-3: Factors of 65680

List of positive integer factors of 65680 that divides 65680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 821, 1642, 3284, 4105, 6568, 8210, 13136, 16420, 32840

Step-4: Factors of 65696

List of positive integer factors of 65696 that divides 65680 without a remainder.

1, 2, 4, 8, 16, 32, 2053, 4106, 8212, 16424, 32848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65680 and 65696. The biggest common factor number is the GCF number.
So the greatest common factor 65680 and 65696 is 16.

Also check out the Least Common Multiple of 65680 and 65696