What is the Greatest Common Factor of 32654 and 32672?

Greatest common factor (GCF) of 32654 and 32672 is 2.

GCF(32654,32672) = 2

We will now calculate the prime factors of 32654 and 32672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32654 and 32672.

How to find the GCF of 32654 and 32672?

We will first find the prime factorization of 32654 and 32672. After we will calculate the factors of 32654 and 32672 and find the biggest common factor number .

Step-1: Prime Factorization of 32654

Prime factors of 32654 are 2, 29, 563. Prime factorization of 32654 in exponential form is:

32654 = 2¹ × 29¹ × 563¹

Step-2: Prime Factorization of 32672

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

32672 = 2⁵ × 1021¹

Step-3: Factors of 32654

List of positive integer factors of 32654 that divides 32654 without a remainder.

1, 2, 29, 58, 563, 1126, 16327

Step-4: Factors of 32672

List of positive integer factors of 32672 that divides 32654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32654 and 32672. The biggest common factor number is the GCF number.
So the greatest common factor 32654 and 32672 is 2.

Also check out the Least Common Multiple of 32654 and 32672