What is the Greatest Common Factor of 86512 and 86528?

Greatest common factor (GCF) of 86512 and 86528 is 16.

GCF(86512,86528) = 16

We will now calculate the prime factors of 86512 and 86528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86512 and 86528.

How to find the GCF of 86512 and 86528?

We will first find the prime factorization of 86512 and 86528. After we will calculate the factors of 86512 and 86528 and find the biggest common factor number .

Step-1: Prime Factorization of 86512

Prime factors of 86512 are 2, 5407. Prime factorization of 86512 in exponential form is:

86512 = 2⁴ × 5407¹

Step-2: Prime Factorization of 86528

Prime factors of 86528 are 2, 13. Prime factorization of 86528 in exponential form is:

86528 = 2⁹ × 13²

Step-3: Factors of 86512

List of positive integer factors of 86512 that divides 86512 without a remainder.

1, 2, 4, 8, 16, 5407, 10814, 21628, 43256

Step-4: Factors of 86528

List of positive integer factors of 86528 that divides 86512 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 256, 338, 416, 512, 676, 832, 1352, 1664, 2704, 3328, 5408, 6656, 10816, 21632, 43264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86512 and 86528. The biggest common factor number is the GCF number.
So the greatest common factor 86512 and 86528 is 16.

Also check out the Least Common Multiple of 86512 and 86528