What is the Greatest Common Factor of 33012 and 33024?

Greatest common factor (GCF) of 33012 and 33024 is 12.

GCF(33012,33024) = 12

We will now calculate the prime factors of 33012 and 33024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33012 and 33024.

How to find the GCF of 33012 and 33024?

We will first find the prime factorization of 33012 and 33024. After we will calculate the factors of 33012 and 33024 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 33024

Prime factors of 33024 are 2, 3, 43. Prime factorization of 33024 in exponential form is:

33024 = 2⁸ × 3¹ × 43¹

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 33024

List of positive integer factors of 33024 that divides 33012 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 128, 129, 172, 192, 256, 258, 344, 384, 516, 688, 768, 1032, 1376, 2064, 2752, 4128, 5504, 8256, 11008, 16512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33012 and 33024. The biggest common factor number is the GCF number.
So the greatest common factor 33012 and 33024 is 12.

Also check out the Least Common Multiple of 33012 and 33024