What is the Greatest Common Factor of 51986 and 51997?

Greatest common factor (GCF) of 51986 and 51997 is 11.

GCF(51986,51997) = 11

We will now calculate the prime factors of 51986 and 51997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51986 and 51997.

How to find the GCF of 51986 and 51997?

We will first find the prime factorization of 51986 and 51997. After we will calculate the factors of 51986 and 51997 and find the biggest common factor number .

Step-1: Prime Factorization of 51986

Prime factors of 51986 are 2, 11, 17, 139. Prime factorization of 51986 in exponential form is:

51986 = 2¹ × 11¹ × 17¹ × 139¹

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 51986

List of positive integer factors of 51986 that divides 51986 without a remainder.

1, 2, 11, 17, 22, 34, 139, 187, 278, 374, 1529, 2363, 3058, 4726, 25993

Step-4: Factors of 51997

List of positive integer factors of 51997 that divides 51986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51986 and 51997. The biggest common factor number is the GCF number.
So the greatest common factor 51986 and 51997 is 11.

Also check out the Least Common Multiple of 51986 and 51997