What is the Greatest Common Factor of 27500 and 27517?

Greatest common factor (GCF) of 27500 and 27517 is 1.

GCF(27500,27517) = 1

We will now calculate the prime factors of 27500 and 27517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27500 and 27517.

How to find the GCF of 27500 and 27517?

We will first find the prime factorization of 27500 and 27517. After we will calculate the factors of 27500 and 27517 and find the biggest common factor number .

Step-1: Prime Factorization of 27500

Prime factors of 27500 are 2, 5, 11. Prime factorization of 27500 in exponential form is:

27500 = 2² × 5⁴ × 11¹

Step-2: Prime Factorization of 27517

Prime factors of 27517 are 7, 3931. Prime factorization of 27517 in exponential form is:

27517 = 7¹ × 3931¹

Step-3: Factors of 27500

List of positive integer factors of 27500 that divides 27500 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 625, 1100, 1250, 1375, 2500, 2750, 5500, 6875, 13750

Step-4: Factors of 27517

List of positive integer factors of 27517 that divides 27500 without a remainder.

1, 7, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27500 and 27517. The biggest common factor number is the GCF number.
So the greatest common factor 27500 and 27517 is 1.

Also check out the Least Common Multiple of 27500 and 27517