What is the Greatest Common Factor of 32916 and 32928?

Greatest common factor (GCF) of 32916 and 32928 is 12.

GCF(32916,32928) = 12

We will now calculate the prime factors of 32916 and 32928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32916 and 32928.

How to find the GCF of 32916 and 32928?

We will first find the prime factorization of 32916 and 32928. After we will calculate the factors of 32916 and 32928 and find the biggest common factor number .

Step-1: Prime Factorization of 32916

Prime factors of 32916 are 2, 3, 13, 211. Prime factorization of 32916 in exponential form is:

32916 = 2² × 3¹ × 13¹ × 211¹

Step-2: Prime Factorization of 32928

Prime factors of 32928 are 2, 3, 7. Prime factorization of 32928 in exponential form is:

32928 = 2⁵ × 3¹ × 7³

Step-3: Factors of 32916

List of positive integer factors of 32916 that divides 32916 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 211, 422, 633, 844, 1266, 2532, 2743, 5486, 8229, 10972, 16458

Step-4: Factors of 32928

List of positive integer factors of 32928 that divides 32916 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 343, 392, 588, 672, 686, 784, 1029, 1176, 1372, 1568, 2058, 2352, 2744, 4116, 4704, 5488, 8232, 10976, 16464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32916 and 32928. The biggest common factor number is the GCF number.
So the greatest common factor 32916 and 32928 is 12.

Also check out the Least Common Multiple of 32916 and 32928