What is the Greatest Common Factor of 27517 and 27524?

Greatest common factor (GCF) of 27517 and 27524 is 7.

GCF(27517,27524) = 7

We will now calculate the prime factors of 27517 and 27524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27517 and 27524.

How to find the GCF of 27517 and 27524?

We will first find the prime factorization of 27517 and 27524. After we will calculate the factors of 27517 and 27524 and find the biggest common factor number .

Step-1: Prime Factorization of 27517

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

27517 = 7¹ × 3931¹

Step-2: Prime Factorization of 27524

Prime factors of 27524 are 2, 7, 983. Prime factorization of 27524 in exponential form is:

27524 = 2² × 7¹ × 983¹

Step-3: Factors of 27517

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

1, 7, 3931

Step-4: Factors of 27524

List of positive integer factors of 27524 that divides 27517 without a remainder.

1, 2, 4, 7, 14, 28, 983, 1966, 3932, 6881, 13762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27517 and 27524. The biggest common factor number is the GCF number.
So the greatest common factor 27517 and 27524 is 7.

Also check out the Least Common Multiple of 27517 and 27524