What is the Greatest Common Factor of 27470 and 27485?

Greatest common factor (GCF) of 27470 and 27485 is 5.

GCF(27470,27485) = 5

We will now calculate the prime factors of 27470 and 27485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27470 and 27485.

How to find the GCF of 27470 and 27485?

We will first find the prime factorization of 27470 and 27485. After we will calculate the factors of 27470 and 27485 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27485

Prime factors of 27485 are 5, 23, 239. Prime factorization of 27485 in exponential form is:

27485 = 5¹ × 23¹ × 239¹

Step-3: Factors of 27470

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

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

Step-4: Factors of 27485

List of positive integer factors of 27485 that divides 27470 without a remainder.

1, 5, 23, 115, 239, 1195, 5497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27470 and 27485. The biggest common factor number is the GCF number.
So the greatest common factor 27470 and 27485 is 5.

Also check out the Least Common Multiple of 27470 and 27485