What is the Greatest Common Factor of 27534 and 27549?

Greatest common factor (GCF) of 27534 and 27549 is 3.

GCF(27534,27549) = 3

We will now calculate the prime factors of 27534 and 27549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27534 and 27549.

How to find the GCF of 27534 and 27549?

We will first find the prime factorization of 27534 and 27549. After we will calculate the factors of 27534 and 27549 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 27549

Prime factors of 27549 are 3, 3061. Prime factorization of 27549 in exponential form is:

27549 = 3² × 3061¹

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 27549

List of positive integer factors of 27549 that divides 27534 without a remainder.

1, 3, 9, 3061, 9183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27534 and 27549. The biggest common factor number is the GCF number.
So the greatest common factor 27534 and 27549 is 3.

Also check out the Least Common Multiple of 27534 and 27549