What is the Greatest Common Factor of 27507 and 27513?

Greatest common factor (GCF) of 27507 and 27513 is 3.

GCF(27507,27513) = 3

We will now calculate the prime factors of 27507 and 27513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27507 and 27513.

How to find the GCF of 27507 and 27513?

We will first find the prime factorization of 27507 and 27513. After we will calculate the factors of 27507 and 27513 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27513

Prime factors of 27513 are 3, 1019. Prime factorization of 27513 in exponential form is:

27513 = 3³ × 1019¹

Step-3: Factors of 27507

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

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

Step-4: Factors of 27513

List of positive integer factors of 27513 that divides 27507 without a remainder.

1, 3, 9, 27, 1019, 3057, 9171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27507 and 27513. The biggest common factor number is the GCF number.
So the greatest common factor 27507 and 27513 is 3.

Also check out the Least Common Multiple of 27507 and 27513