What is the Greatest Common Factor of 65665 and 65680?

Greatest common factor (GCF) of 65665 and 65680 is 5.

GCF(65665,65680) = 5

We will now calculate the prime factors of 65665 and 65680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65665 and 65680.

How to find the GCF of 65665 and 65680?

We will first find the prime factorization of 65665 and 65680. After we will calculate the factors of 65665 and 65680 and find the biggest common factor number .

Step-1: Prime Factorization of 65665

Prime factors of 65665 are 5, 23, 571. Prime factorization of 65665 in exponential form is:

65665 = 5¹ × 23¹ × 571¹

Step-2: 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-3: Factors of 65665

List of positive integer factors of 65665 that divides 65665 without a remainder.

1, 5, 23, 115, 571, 2855, 13133

Step-4: Factors of 65680

List of positive integer factors of 65680 that divides 65665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65665 and 65680. The biggest common factor number is the GCF number.
So the greatest common factor 65665 and 65680 is 5.

Also check out the Least Common Multiple of 65665 and 65680