What is the Greatest Common Factor of 33012 and 33018?

Greatest common factor (GCF) of 33012 and 33018 is 6.

GCF(33012,33018) = 6

We will now calculate the prime factors of 33012 and 33018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33012 and 33018.

How to find the GCF of 33012 and 33018?

We will first find the prime factorization of 33012 and 33018. After we will calculate the factors of 33012 and 33018 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33018

Prime factors of 33018 are 2, 3, 5503. Prime factorization of 33018 in exponential form is:

33018 = 2¹ × 3¹ × 5503¹

Step-3: Factors of 33012

List of positive integer factors of 33012 that divides 33012 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

Step-4: Factors of 33018

List of positive integer factors of 33018 that divides 33012 without a remainder.

1, 2, 3, 6, 5503, 11006, 16509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33012 and 33018. The biggest common factor number is the GCF number.
So the greatest common factor 33012 and 33018 is 6.

Also check out the Least Common Multiple of 33012 and 33018