What is the Greatest Common Factor of 33012 and 33026?

Greatest common factor (GCF) of 33012 and 33026 is 14.

GCF(33012,33026) = 14

We will now calculate the prime factors of 33012 and 33026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33012 and 33026.

How to find the GCF of 33012 and 33026?

We will first find the prime factorization of 33012 and 33026. After we will calculate the factors of 33012 and 33026 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 33026

Prime factors of 33026 are 2, 7, 337. Prime factorization of 33026 in exponential form is:

33026 = 2¹ × 7² × 337¹

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 33026

List of positive integer factors of 33026 that divides 33012 without a remainder.

1, 2, 7, 14, 49, 98, 337, 674, 2359, 4718, 16513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33012 and 33026. The biggest common factor number is the GCF number.
So the greatest common factor 33012 and 33026 is 14.

Also check out the Least Common Multiple of 33012 and 33026