What is the Greatest Common Factor of 27474 and 27490?

Greatest common factor (GCF) of 27474 and 27490 is 2.

GCF(27474,27490) = 2

We will now calculate the prime factors of 27474 and 27490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27474 and 27490.

How to find the GCF of 27474 and 27490?

We will first find the prime factorization of 27474 and 27490. After we will calculate the factors of 27474 and 27490 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 27490

Prime factors of 27490 are 2, 5, 2749. Prime factorization of 27490 in exponential form is:

27490 = 2¹ × 5¹ × 2749¹

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 27490

List of positive integer factors of 27490 that divides 27474 without a remainder.

1, 2, 5, 10, 2749, 5498, 13745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27474 and 27490. The biggest common factor number is the GCF number.
So the greatest common factor 27474 and 27490 is 2.

Also check out the Least Common Multiple of 27474 and 27490