What is the Greatest Common Factor of 51982 and 51996?

Greatest common factor (GCF) of 51982 and 51996 is 14.

GCF(51982,51996) = 14

We will now calculate the prime factors of 51982 and 51996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51982 and 51996.

How to find the GCF of 51982 and 51996?

We will first find the prime factorization of 51982 and 51996. After we will calculate the factors of 51982 and 51996 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 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 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 51996

List of positive integer factors of 51996 that divides 51982 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 51982 and 51996. The biggest common factor number is the GCF number.
So the greatest common factor 51982 and 51996 is 14.

Also check out the Least Common Multiple of 51982 and 51996