What is the Greatest Common Factor of 51989 and 51996?

Greatest common factor (GCF) of 51989 and 51996 is 7.

GCF(51989,51996) = 7

We will now calculate the prime factors of 51989 and 51996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51989 and 51996.

How to find the GCF of 51989 and 51996?

We will first find the prime factorization of 51989 and 51996. After we will calculate the factors of 51989 and 51996 and find the biggest common factor number .

Step-1: Prime Factorization of 51989

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

51989 = 7² × 1061¹

Step-2: Prime Factorization of 51996

Prime factors of 51996 are 2, 3, 7, 619. Prime factorization of 51996 in exponential form is:

51996 = 2² × 3¹ × 7¹ × 619¹

Step-3: Factors of 51989

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

1, 7, 49, 1061, 7427

Step-4: Factors of 51996

List of positive integer factors of 51996 that divides 51989 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 619, 1238, 1857, 2476, 3714, 4333, 7428, 8666, 12999, 17332, 25998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51989 and 51996. The biggest common factor number is the GCF number.
So the greatest common factor 51989 and 51996 is 7.

Also check out the Least Common Multiple of 51989 and 51996