What is the Greatest Common Factor of 65864 and 65872?

Greatest common factor (GCF) of 65864 and 65872 is 8.

GCF(65864,65872) = 8

We will now calculate the prime factors of 65864 and 65872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65864 and 65872.

How to find the GCF of 65864 and 65872?

We will first find the prime factorization of 65864 and 65872. After we will calculate the factors of 65864 and 65872 and find the biggest common factor number .

Step-1: Prime Factorization of 65864

Prime factors of 65864 are 2, 8233. Prime factorization of 65864 in exponential form is:

65864 = 2³ × 8233¹

Step-2: Prime Factorization of 65872

Prime factors of 65872 are 2, 23, 179. Prime factorization of 65872 in exponential form is:

65872 = 2⁴ × 23¹ × 179¹

Step-3: Factors of 65864

List of positive integer factors of 65864 that divides 65864 without a remainder.

1, 2, 4, 8, 8233, 16466, 32932

Step-4: Factors of 65872

List of positive integer factors of 65872 that divides 65864 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 179, 184, 358, 368, 716, 1432, 2864, 4117, 8234, 16468, 32936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65864 and 65872. The biggest common factor number is the GCF number.
So the greatest common factor 65864 and 65872 is 8.

Also check out the Least Common Multiple of 65864 and 65872