What is the Greatest Common Factor of 65976 and 65985?

Greatest common factor (GCF) of 65976 and 65985 is 3.

GCF(65976,65985) = 3

We will now calculate the prime factors of 65976 and 65985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65976 and 65985.

How to find the GCF of 65976 and 65985?

We will first find the prime factorization of 65976 and 65985. After we will calculate the factors of 65976 and 65985 and find the biggest common factor number .

Step-1: Prime Factorization of 65976

Prime factors of 65976 are 2, 3, 2749. Prime factorization of 65976 in exponential form is:

65976 = 2³ × 3¹ × 2749¹

Step-2: Prime Factorization of 65985

Prime factors of 65985 are 3, 5, 53, 83. Prime factorization of 65985 in exponential form is:

65985 = 3¹ × 5¹ × 53¹ × 83¹

Step-3: Factors of 65976

List of positive integer factors of 65976 that divides 65976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2749, 5498, 8247, 10996, 16494, 21992, 32988

Step-4: Factors of 65985

List of positive integer factors of 65985 that divides 65976 without a remainder.

1, 3, 5, 15, 53, 83, 159, 249, 265, 415, 795, 1245, 4399, 13197, 21995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65976 and 65985. The biggest common factor number is the GCF number.
So the greatest common factor 65976 and 65985 is 3.

Also check out the Least Common Multiple of 65976 and 65985