What is the Greatest Common Factor of 51982 and 51989?

Greatest common factor (GCF) of 51982 and 51989 is 7.

GCF(51982,51989) = 7

We will now calculate the prime factors of 51982 and 51989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51982 and 51989.

How to find the GCF of 51982 and 51989?

We will first find the prime factorization of 51982 and 51989. After we will calculate the factors of 51982 and 51989 and find the biggest common factor number .

Step-1: Prime Factorization of 51982

Prime factors of 51982 are 2, 7, 47, 79. Prime factorization of 51982 in exponential form is:

51982 = 2¹ × 7¹ × 47¹ × 79¹

Step-2: Prime Factorization of 51989

Prime factors of 51989 are 7, 1061. Prime factorization of 51989 in exponential form is:

51989 = 7² × 1061¹

Step-3: Factors of 51982

List of positive integer factors of 51982 that divides 51982 without a remainder.

1, 2, 7, 14, 47, 79, 94, 158, 329, 553, 658, 1106, 3713, 7426, 25991

Step-4: Factors of 51989

List of positive integer factors of 51989 that divides 51982 without a remainder.

1, 7, 49, 1061, 7427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51982 and 51989. The biggest common factor number is the GCF number.
So the greatest common factor 51982 and 51989 is 7.

Also check out the Least Common Multiple of 51982 and 51989