What is the Greatest Common Factor of 27534 and 27548?

Greatest common factor (GCF) of 27534 and 27548 is 2.

GCF(27534,27548) = 2

We will now calculate the prime factors of 27534 and 27548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27534 and 27548.

How to find the GCF of 27534 and 27548?

We will first find the prime factorization of 27534 and 27548. After we will calculate the factors of 27534 and 27548 and find the biggest common factor number .

Step-1: Prime Factorization of 27534

Prime factors of 27534 are 2, 3, 13, 353. Prime factorization of 27534 in exponential form is:

27534 = 2¹ × 3¹ × 13¹ × 353¹

Step-2: Prime Factorization of 27548

Prime factors of 27548 are 2, 71, 97. Prime factorization of 27548 in exponential form is:

27548 = 2² × 71¹ × 97¹

Step-3: Factors of 27534

List of positive integer factors of 27534 that divides 27534 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 353, 706, 1059, 2118, 4589, 9178, 13767

Step-4: Factors of 27548

List of positive integer factors of 27548 that divides 27534 without a remainder.

1, 2, 4, 71, 97, 142, 194, 284, 388, 6887, 13774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27534 and 27548. The biggest common factor number is the GCF number.
So the greatest common factor 27534 and 27548 is 2.

Also check out the Least Common Multiple of 27534 and 27548