What is the Greatest Common Factor of 27474 and 27493?

Greatest common factor (GCF) of 27474 and 27493 is 19.

GCF(27474,27493) = 19

We will now calculate the prime factors of 27474 and 27493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27474 and 27493.

How to find the GCF of 27474 and 27493?

We will first find the prime factorization of 27474 and 27493. After we will calculate the factors of 27474 and 27493 and find the biggest common factor number .

Step-1: Prime Factorization of 27474

Prime factors of 27474 are 2, 3, 19, 241. Prime factorization of 27474 in exponential form is:

27474 = 2¹ × 3¹ × 19¹ × 241¹

Step-2: Prime Factorization of 27493

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

27493 = 19¹ × 1447¹

Step-3: Factors of 27474

List of positive integer factors of 27474 that divides 27474 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 241, 482, 723, 1446, 4579, 9158, 13737

Step-4: Factors of 27493

List of positive integer factors of 27493 that divides 27474 without a remainder.

1, 19, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27474 and 27493. The biggest common factor number is the GCF number.
So the greatest common factor 27474 and 27493 is 19.

Also check out the Least Common Multiple of 27474 and 27493