What is the Greatest Common Factor of 32912 and 32921?

Greatest common factor (GCF) of 32912 and 32921 is 1.

GCF(32912,32921) = 1

We will now calculate the prime factors of 32912 and 32921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32912 and 32921.

How to find the GCF of 32912 and 32921?

We will first find the prime factorization of 32912 and 32921. After we will calculate the factors of 32912 and 32921 and find the biggest common factor number .

Step-1: Prime Factorization of 32912

Prime factors of 32912 are 2, 11, 17. Prime factorization of 32912 in exponential form is:

32912 = 2⁴ × 11² × 17¹

Step-2: Prime Factorization of 32921

Prime factors of 32921 are 7, 4703. Prime factorization of 32921 in exponential form is:

32921 = 7¹ × 4703¹

Step-3: Factors of 32912

List of positive integer factors of 32912 that divides 32912 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 121, 136, 176, 187, 242, 272, 374, 484, 748, 968, 1496, 1936, 2057, 2992, 4114, 8228, 16456

Step-4: Factors of 32921

List of positive integer factors of 32921 that divides 32912 without a remainder.

1, 7, 4703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32912 and 32921. The biggest common factor number is the GCF number.
So the greatest common factor 32912 and 32921 is 1.

Also check out the Least Common Multiple of 32912 and 32921