What is the Greatest Common Factor of 65698 and 65712?

Greatest common factor (GCF) of 65698 and 65712 is 2.

GCF(65698,65712) = 2

We will now calculate the prime factors of 65698 and 65712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65698 and 65712.

How to find the GCF of 65698 and 65712?

We will first find the prime factorization of 65698 and 65712. After we will calculate the factors of 65698 and 65712 and find the biggest common factor number .

Step-1: Prime Factorization of 65698

Prime factors of 65698 are 2, 107, 307. Prime factorization of 65698 in exponential form is:

65698 = 2¹ × 107¹ × 307¹

Step-2: Prime Factorization of 65712

Prime factors of 65712 are 2, 3, 37. Prime factorization of 65712 in exponential form is:

65712 = 2⁴ × 3¹ × 37²

Step-3: Factors of 65698

List of positive integer factors of 65698 that divides 65698 without a remainder.

1, 2, 107, 214, 307, 614, 32849

Step-4: Factors of 65712

List of positive integer factors of 65712 that divides 65698 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1369, 1776, 2738, 4107, 5476, 8214, 10952, 16428, 21904, 32856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65698 and 65712. The biggest common factor number is the GCF number.
So the greatest common factor 65698 and 65712 is 2.

Also check out the Least Common Multiple of 65698 and 65712