What is the Greatest Common Factor of 27492 and 27507?

Greatest common factor (GCF) of 27492 and 27507 is 3.

GCF(27492,27507) = 3

We will now calculate the prime factors of 27492 and 27507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27492 and 27507.

How to find the GCF of 27492 and 27507?

We will first find the prime factorization of 27492 and 27507. After we will calculate the factors of 27492 and 27507 and find the biggest common factor number .

Step-1: Prime Factorization of 27492

Prime factors of 27492 are 2, 3, 29, 79. Prime factorization of 27492 in exponential form is:

27492 = 2² × 3¹ × 29¹ × 79¹

Step-2: Prime Factorization of 27507

Prime factors of 27507 are 3, 53, 173. Prime factorization of 27507 in exponential form is:

27507 = 3¹ × 53¹ × 173¹

Step-3: Factors of 27492

List of positive integer factors of 27492 that divides 27492 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 79, 87, 116, 158, 174, 237, 316, 348, 474, 948, 2291, 4582, 6873, 9164, 13746

Step-4: Factors of 27507

List of positive integer factors of 27507 that divides 27492 without a remainder.

1, 3, 53, 159, 173, 519, 9169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27492 and 27507. The biggest common factor number is the GCF number.
So the greatest common factor 27492 and 27507 is 3.

Also check out the Least Common Multiple of 27492 and 27507