What is the Greatest Common Factor of 27534 and 27547?

Greatest common factor (GCF) of 27534 and 27547 is 13.

GCF(27534,27547) = 13

We will now calculate the prime factors of 27534 and 27547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27534 and 27547.

How to find the GCF of 27534 and 27547?

We will first find the prime factorization of 27534 and 27547. After we will calculate the factors of 27534 and 27547 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 27547

Prime factors of 27547 are 13, 163. Prime factorization of 27547 in exponential form is:

27547 = 13² × 163¹

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 27547

List of positive integer factors of 27547 that divides 27534 without a remainder.

1, 13, 163, 169, 2119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27534 and 27547. The biggest common factor number is the GCF number.
So the greatest common factor 27534 and 27547 is 13.

Also check out the Least Common Multiple of 27534 and 27547