What is the Greatest Common Factor of 65872 and 65888?

Greatest common factor (GCF) of 65872 and 65888 is 16.

GCF(65872,65888) = 16

We will now calculate the prime factors of 65872 and 65888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65872 and 65888.

How to find the GCF of 65872 and 65888?

We will first find the prime factorization of 65872 and 65888. After we will calculate the factors of 65872 and 65888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65888

Prime factors of 65888 are 2, 29, 71. Prime factorization of 65888 in exponential form is:

65888 = 2⁵ × 29¹ × 71¹

Step-3: Factors of 65872

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

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

Step-4: Factors of 65888

List of positive integer factors of 65888 that divides 65872 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 71, 116, 142, 232, 284, 464, 568, 928, 1136, 2059, 2272, 4118, 8236, 16472, 32944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65872 and 65888. The biggest common factor number is the GCF number.
So the greatest common factor 65872 and 65888 is 16.

Also check out the Least Common Multiple of 65872 and 65888