What is the Greatest Common Factor of 27460 and 27478?

Greatest common factor (GCF) of 27460 and 27478 is 2.

GCF(27460,27478) = 2

We will now calculate the prime factors of 27460 and 27478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27460 and 27478.

How to find the GCF of 27460 and 27478?

We will first find the prime factorization of 27460 and 27478. After we will calculate the factors of 27460 and 27478 and find the biggest common factor number .

Step-1: Prime Factorization of 27460

Prime factors of 27460 are 2, 5, 1373. Prime factorization of 27460 in exponential form is:

27460 = 2² × 5¹ × 1373¹

Step-2: Prime Factorization of 27478

Prime factors of 27478 are 2, 11, 1249. Prime factorization of 27478 in exponential form is:

27478 = 2¹ × 11¹ × 1249¹

Step-3: Factors of 27460

List of positive integer factors of 27460 that divides 27460 without a remainder.

1, 2, 4, 5, 10, 20, 1373, 2746, 5492, 6865, 13730

Step-4: Factors of 27478

List of positive integer factors of 27478 that divides 27460 without a remainder.

1, 2, 11, 22, 1249, 2498, 13739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27460 and 27478. The biggest common factor number is the GCF number.
So the greatest common factor 27460 and 27478 is 2.

Also check out the Least Common Multiple of 27460 and 27478