What is the Greatest Common Factor of 32864 and 32877?

Greatest common factor (GCF) of 32864 and 32877 is 13.

GCF(32864,32877) = 13

We will now calculate the prime factors of 32864 and 32877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32864 and 32877.

How to find the GCF of 32864 and 32877?

We will first find the prime factorization of 32864 and 32877. After we will calculate the factors of 32864 and 32877 and find the biggest common factor number .

Step-1: Prime Factorization of 32864

Prime factors of 32864 are 2, 13, 79. Prime factorization of 32864 in exponential form is:

32864 = 2⁵ × 13¹ × 79¹

Step-2: Prime Factorization of 32877

Prime factors of 32877 are 3, 13, 281. Prime factorization of 32877 in exponential form is:

32877 = 3² × 13¹ × 281¹

Step-3: Factors of 32864

List of positive integer factors of 32864 that divides 32864 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 79, 104, 158, 208, 316, 416, 632, 1027, 1264, 2054, 2528, 4108, 8216, 16432

Step-4: Factors of 32877

List of positive integer factors of 32877 that divides 32864 without a remainder.

1, 3, 9, 13, 39, 117, 281, 843, 2529, 3653, 10959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32864 and 32877. The biggest common factor number is the GCF number.
So the greatest common factor 32864 and 32877 is 13.

Also check out the Least Common Multiple of 32864 and 32877