What is the Greatest Common Factor of 32676 and 32688?

Greatest common factor (GCF) of 32676 and 32688 is 12.

GCF(32676,32688) = 12

We will now calculate the prime factors of 32676 and 32688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32676 and 32688.

How to find the GCF of 32676 and 32688?

We will first find the prime factorization of 32676 and 32688. After we will calculate the factors of 32676 and 32688 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32688

Prime factors of 32688 are 2, 3, 227. Prime factorization of 32688 in exponential form is:

32688 = 2⁴ × 3² × 227¹

Step-3: Factors of 32676

List of positive integer factors of 32676 that divides 32676 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

Step-4: Factors of 32688

List of positive integer factors of 32688 that divides 32676 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 3632, 4086, 5448, 8172, 10896, 16344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32676 and 32688. The biggest common factor number is the GCF number.
So the greatest common factor 32676 and 32688 is 12.

Also check out the Least Common Multiple of 32676 and 32688