What is the Greatest Common Factor of 27054 and 27058?

Greatest common factor (GCF) of 27054 and 27058 is 2.

GCF(27054,27058) = 2

We will now calculate the prime factors of 27054 and 27058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27054 and 27058.

How to find the GCF of 27054 and 27058?

We will first find the prime factorization of 27054 and 27058. After we will calculate the factors of 27054 and 27058 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27058

Prime factors of 27058 are 2, 83, 163. Prime factorization of 27058 in exponential form is:

27058 = 2¹ × 83¹ × 163¹

Step-3: Factors of 27054

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

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

Step-4: Factors of 27058

List of positive integer factors of 27058 that divides 27054 without a remainder.

1, 2, 83, 163, 166, 326, 13529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27054 and 27058. The biggest common factor number is the GCF number.
So the greatest common factor 27054 and 27058 is 2.

Also check out the Least Common Multiple of 27054 and 27058