What is the Greatest Common Factor of 27460 and 27470?

Greatest common factor (GCF) of 27460 and 27470 is 10.

GCF(27460,27470) = 10

We will now calculate the prime factors of 27460 and 27470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27460 and 27470.

How to find the GCF of 27460 and 27470?

We will first find the prime factorization of 27460 and 27470. After we will calculate the factors of 27460 and 27470 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 27470

Prime factors of 27470 are 2, 5, 41, 67. Prime factorization of 27470 in exponential form is:

27470 = 2¹ × 5¹ × 41¹ × 67¹

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 27470

List of positive integer factors of 27470 that divides 27460 without a remainder.

1, 2, 5, 10, 41, 67, 82, 134, 205, 335, 410, 670, 2747, 5494, 13735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27460 and 27470. The biggest common factor number is the GCF number.
So the greatest common factor 27460 and 27470 is 10.

Also check out the Least Common Multiple of 27460 and 27470