What is the Greatest Common Factor of 51988 and 51997?

Greatest common factor (GCF) of 51988 and 51997 is 1.

GCF(51988,51997) = 1

We will now calculate the prime factors of 51988 and 51997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51988 and 51997.

How to find the GCF of 51988 and 51997?

We will first find the prime factorization of 51988 and 51997. After we will calculate the factors of 51988 and 51997 and find the biggest common factor number .

Step-1: Prime Factorization of 51988

Prime factors of 51988 are 2, 41, 317. Prime factorization of 51988 in exponential form is:

51988 = 2² × 41¹ × 317¹

Step-2: Prime Factorization of 51997

Prime factors of 51997 are 11, 29, 163. Prime factorization of 51997 in exponential form is:

51997 = 11¹ × 29¹ × 163¹

Step-3: Factors of 51988

List of positive integer factors of 51988 that divides 51988 without a remainder.

1, 2, 4, 41, 82, 164, 317, 634, 1268, 12997, 25994

Step-4: Factors of 51997

List of positive integer factors of 51997 that divides 51988 without a remainder.

1, 11, 29, 163, 319, 1793, 4727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51988 and 51997. The biggest common factor number is the GCF number.
So the greatest common factor 51988 and 51997 is 1.

Also check out the Least Common Multiple of 51988 and 51997