What is the Greatest Common Factor of 27470 and 27488?

Greatest common factor (GCF) of 27470 and 27488 is 2.

GCF(27470,27488) = 2

We will now calculate the prime factors of 27470 and 27488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27470 and 27488.

How to find the GCF of 27470 and 27488?

We will first find the prime factorization of 27470 and 27488. After we will calculate the factors of 27470 and 27488 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 27488

Prime factors of 27488 are 2, 859. Prime factorization of 27488 in exponential form is:

27488 = 2⁵ × 859¹

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 27488

List of positive integer factors of 27488 that divides 27470 without a remainder.

1, 2, 4, 8, 16, 32, 859, 1718, 3436, 6872, 13744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27470 and 27488. The biggest common factor number is the GCF number.
So the greatest common factor 27470 and 27488 is 2.

Also check out the Least Common Multiple of 27470 and 27488