What is the Greatest Common Factor of 32994 and 33012?

Greatest common factor (GCF) of 32994 and 33012 is 18.

GCF(32994,33012) = 18

We will now calculate the prime factors of 32994 and 33012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32994 and 33012.

How to find the GCF of 32994 and 33012?

We will first find the prime factorization of 32994 and 33012. After we will calculate the factors of 32994 and 33012 and find the biggest common factor number .

Step-1: Prime Factorization of 32994

Prime factors of 32994 are 2, 3, 13, 47. Prime factorization of 32994 in exponential form is:

32994 = 2¹ × 3³ × 13¹ × 47¹

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 32994

List of positive integer factors of 32994 that divides 32994 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 94, 117, 141, 234, 282, 351, 423, 611, 702, 846, 1222, 1269, 1833, 2538, 3666, 5499, 10998, 16497

Step-4: Factors of 33012

List of positive integer factors of 33012 that divides 32994 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 32994 and 33012. The biggest common factor number is the GCF number.
So the greatest common factor 32994 and 33012 is 18.

Also check out the Least Common Multiple of 32994 and 33012