What is the Greatest Common Factor of 27038 and 27054?

Greatest common factor (GCF) of 27038 and 27054 is 2.

GCF(27038,27054) = 2

We will now calculate the prime factors of 27038 and 27054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27038 and 27054.

How to find the GCF of 27038 and 27054?

We will first find the prime factorization of 27038 and 27054. After we will calculate the factors of 27038 and 27054 and find the biggest common factor number .

Step-1: Prime Factorization of 27038

Prime factors of 27038 are 2, 11, 1229. Prime factorization of 27038 in exponential form is:

27038 = 2¹ × 11¹ × 1229¹

Step-2: Prime Factorization of 27054

Prime factors of 27054 are 2, 3, 167. Prime factorization of 27054 in exponential form is:

27054 = 2¹ × 3⁴ × 167¹

Step-3: Factors of 27038

List of positive integer factors of 27038 that divides 27038 without a remainder.

1, 2, 11, 22, 1229, 2458, 13519

Step-4: Factors of 27054

List of positive integer factors of 27054 that divides 27038 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 334, 501, 1002, 1503, 3006, 4509, 9018, 13527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27038 and 27054. The biggest common factor number is the GCF number.
So the greatest common factor 27038 and 27054 is 2.

Also check out the Least Common Multiple of 27038 and 27054