What is the Greatest Common Factor of 17927 and 17939?

Greatest common factor (GCF) of 17927 and 17939 is 1.

GCF(17927,17939) = 1

We will now calculate the prime factors of 17927 and 17939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17927 and 17939.

How to find the GCF of 17927 and 17939?

We will first find the prime factorization of 17927 and 17939. After we will calculate the factors of 17927 and 17939 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 17939

Prime factors of 17939 are 17939. Prime factorization of 17939 in exponential form is:

17939 = 17939¹

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 17939

List of positive integer factors of 17939 that divides 17927 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17927 and 17939. The biggest common factor number is the GCF number.
So the greatest common factor 17927 and 17939 is 1.

Also check out the Least Common Multiple of 17927 and 17939