What is the Greatest Common Factor of 32664 and 32676?

Greatest common factor (GCF) of 32664 and 32676 is 12.

GCF(32664,32676) = 12

We will now calculate the prime factors of 32664 and 32676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32664 and 32676.

How to find the GCF of 32664 and 32676?

We will first find the prime factorization of 32664 and 32676. After we will calculate the factors of 32664 and 32676 and find the biggest common factor number .

Step-1: Prime Factorization of 32664

Prime factors of 32664 are 2, 3, 1361. Prime factorization of 32664 in exponential form is:

32664 = 2³ × 3¹ × 1361¹

Step-2: Prime Factorization of 32676

Prime factors of 32676 are 2, 3, 7, 389. Prime factorization of 32676 in exponential form is:

32676 = 2² × 3¹ × 7¹ × 389¹

Step-3: Factors of 32664

List of positive integer factors of 32664 that divides 32664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1361, 2722, 4083, 5444, 8166, 10888, 16332

Step-4: Factors of 32676

List of positive integer factors of 32676 that divides 32664 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 389, 778, 1167, 1556, 2334, 2723, 4668, 5446, 8169, 10892, 16338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32664 and 32676. The biggest common factor number is the GCF number.
So the greatest common factor 32664 and 32676 is 12.

Also check out the Least Common Multiple of 32664 and 32676