What is the Greatest Common Factor of 27493 and 27512?

Greatest common factor (GCF) of 27493 and 27512 is 19.

GCF(27493,27512) = 19

We will now calculate the prime factors of 27493 and 27512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27493 and 27512.

How to find the GCF of 27493 and 27512?

We will first find the prime factorization of 27493 and 27512. After we will calculate the factors of 27493 and 27512 and find the biggest common factor number .

Step-1: Prime Factorization of 27493

Prime factors of 27493 are 19, 1447. Prime factorization of 27493 in exponential form is:

27493 = 19¹ × 1447¹

Step-2: Prime Factorization of 27512

Prime factors of 27512 are 2, 19, 181. Prime factorization of 27512 in exponential form is:

27512 = 2³ × 19¹ × 181¹

Step-3: Factors of 27493

List of positive integer factors of 27493 that divides 27493 without a remainder.

1, 19, 1447

Step-4: Factors of 27512

List of positive integer factors of 27512 that divides 27493 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 181, 362, 724, 1448, 3439, 6878, 13756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27493 and 27512. The biggest common factor number is the GCF number.
So the greatest common factor 27493 and 27512 is 19.

Also check out the Least Common Multiple of 27493 and 27512