What is the Greatest Common Factor of 32997 and 33012?

Greatest common factor (GCF) of 32997 and 33012 is 3.

GCF(32997,33012) = 3

We will now calculate the prime factors of 32997 and 33012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32997 and 33012.

How to find the GCF of 32997 and 33012?

We will first find the prime factorization of 32997 and 33012. After we will calculate the factors of 32997 and 33012 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33012

Prime factors of 33012 are 2, 3, 7, 131. Prime factorization of 33012 in exponential form is:

33012 = 2² × 3² × 7¹ × 131¹

Step-3: Factors of 32997

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

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

Step-4: Factors of 33012

List of positive integer factors of 33012 that divides 32997 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 131, 252, 262, 393, 524, 786, 917, 1179, 1572, 1834, 2358, 2751, 3668, 4716, 5502, 8253, 11004, 16506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32997 and 33012. The biggest common factor number is the GCF number.
So the greatest common factor 32997 and 33012 is 3.

Also check out the Least Common Multiple of 32997 and 33012