What is the Greatest Common Factor of 32912 and 32932?

Greatest common factor (GCF) of 32912 and 32932 is 4.

GCF(32912,32932) = 4

We will now calculate the prime factors of 32912 and 32932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32912 and 32932.

How to find the GCF of 32912 and 32932?

We will first find the prime factorization of 32912 and 32932. After we will calculate the factors of 32912 and 32932 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 32932

Prime factors of 32932 are 2, 8233. Prime factorization of 32932 in exponential form is:

32932 = 2² × 8233¹

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 32932

List of positive integer factors of 32932 that divides 32912 without a remainder.

1, 2, 4, 8233, 16466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32912 and 32932. The biggest common factor number is the GCF number.
So the greatest common factor 32912 and 32932 is 4.

Also check out the Least Common Multiple of 32912 and 32932