What is the Greatest Common Factor of 32672 and 32688?

Greatest common factor (GCF) of 32672 and 32688 is 16.

GCF(32672,32688) = 16

We will now calculate the prime factors of 32672 and 32688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32672 and 32688.

How to find the GCF of 32672 and 32688?

We will first find the prime factorization of 32672 and 32688. After we will calculate the factors of 32672 and 32688 and find the biggest common factor number .

Step-1: Prime Factorization of 32672

Prime factors of 32672 are 2, 1021. Prime factorization of 32672 in exponential form is:

32672 = 2⁵ × 1021¹

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 32672

List of positive integer factors of 32672 that divides 32672 without a remainder.

1, 2, 4, 8, 16, 32, 1021, 2042, 4084, 8168, 16336

Step-4: Factors of 32688

List of positive integer factors of 32688 that divides 32672 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 32672 and 32688. The biggest common factor number is the GCF number.
So the greatest common factor 32672 and 32688 is 16.

Also check out the Least Common Multiple of 32672 and 32688