What is the Greatest Common Factor of 50982 and 50991?

Greatest common factor (GCF) of 50982 and 50991 is 3.

GCF(50982,50991) = 3

We will now calculate the prime factors of 50982 and 50991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50982 and 50991.

How to find the GCF of 50982 and 50991?

We will first find the prime factorization of 50982 and 50991. After we will calculate the factors of 50982 and 50991 and find the biggest common factor number .

Step-1: Prime Factorization of 50982

Prime factors of 50982 are 2, 3, 29, 293. Prime factorization of 50982 in exponential form is:

50982 = 2¹ × 3¹ × 29¹ × 293¹

Step-2: Prime Factorization of 50991

Prime factors of 50991 are 3, 23, 739. Prime factorization of 50991 in exponential form is:

50991 = 3¹ × 23¹ × 739¹

Step-3: Factors of 50982

List of positive integer factors of 50982 that divides 50982 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 293, 586, 879, 1758, 8497, 16994, 25491

Step-4: Factors of 50991

List of positive integer factors of 50991 that divides 50982 without a remainder.

1, 3, 23, 69, 739, 2217, 16997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50982 and 50991. The biggest common factor number is the GCF number.
So the greatest common factor 50982 and 50991 is 3.

Also check out the Least Common Multiple of 50982 and 50991