What is the Greatest Common Factor of 32988 and 32997?

Greatest common factor (GCF) of 32988 and 32997 is 3.

GCF(32988,32997) = 3

We will now calculate the prime factors of 32988 and 32997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32988 and 32997.

How to find the GCF of 32988 and 32997?

We will first find the prime factorization of 32988 and 32997. After we will calculate the factors of 32988 and 32997 and find the biggest common factor number .

Step-1: Prime Factorization of 32988

Prime factors of 32988 are 2, 3, 2749. Prime factorization of 32988 in exponential form is:

32988 = 2² × 3¹ × 2749¹

Step-2: Prime Factorization of 32997

Prime factors of 32997 are 3, 17, 647. Prime factorization of 32997 in exponential form is:

32997 = 3¹ × 17¹ × 647¹

Step-3: Factors of 32988

List of positive integer factors of 32988 that divides 32988 without a remainder.

1, 2, 3, 4, 6, 12, 2749, 5498, 8247, 10996, 16494

Step-4: Factors of 32997

List of positive integer factors of 32997 that divides 32988 without a remainder.

1, 3, 17, 51, 647, 1941, 10999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32988 and 32997. The biggest common factor number is the GCF number.
So the greatest common factor 32988 and 32997 is 3.

Also check out the Least Common Multiple of 32988 and 32997