What is the Greatest Common Factor of 27474 and 27479?

Greatest common factor (GCF) of 27474 and 27479 is 1.

GCF(27474,27479) = 1

We will now calculate the prime factors of 27474 and 27479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27474 and 27479.

How to find the GCF of 27474 and 27479?

We will first find the prime factorization of 27474 and 27479. After we will calculate the factors of 27474 and 27479 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 27479

Prime factors of 27479 are 27479. Prime factorization of 27479 in exponential form is:

27479 = 27479¹

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 27479

List of positive integer factors of 27479 that divides 27474 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27474 and 27479. The biggest common factor number is the GCF number.
So the greatest common factor 27474 and 27479 is 1.

Also check out the Least Common Multiple of 27474 and 27479