What is the Greatest Common Factor of 17927 and 17947?

Greatest common factor (GCF) of 17927 and 17947 is 1.

GCF(17927,17947) = 1

We will now calculate the prime factors of 17927 and 17947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17927 and 17947.

How to find the GCF of 17927 and 17947?

We will first find the prime factorization of 17927 and 17947. After we will calculate the factors of 17927 and 17947 and find the biggest common factor number .

Step-1: Prime Factorization of 17927

Prime factors of 17927 are 7, 13, 197. Prime factorization of 17927 in exponential form is:

17927 = 7¹ × 13¹ × 197¹

Step-2: Prime Factorization of 17947

Prime factors of 17947 are 131, 137. Prime factorization of 17947 in exponential form is:

17947 = 131¹ × 137¹

Step-3: Factors of 17927

List of positive integer factors of 17927 that divides 17927 without a remainder.

1, 7, 13, 91, 197, 1379, 2561

Step-4: Factors of 17947

List of positive integer factors of 17947 that divides 17927 without a remainder.

1, 131, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17927 and 17947. The biggest common factor number is the GCF number.
So the greatest common factor 17927 and 17947 is 1.

Also check out the Least Common Multiple of 17927 and 17947