What is the Greatest Common Factor of 50982 and 50996?

Greatest common factor (GCF) of 50982 and 50996 is 2.

GCF(50982,50996) = 2

We will now calculate the prime factors of 50982 and 50996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50982 and 50996.

How to find the GCF of 50982 and 50996?

We will first find the prime factorization of 50982 and 50996. After we will calculate the factors of 50982 and 50996 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 50996

Prime factors of 50996 are 2, 11, 19, 61. Prime factorization of 50996 in exponential form is:

50996 = 2² × 11¹ × 19¹ × 61¹

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 50996

List of positive integer factors of 50996 that divides 50982 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 61, 76, 122, 209, 244, 418, 671, 836, 1159, 1342, 2318, 2684, 4636, 12749, 25498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50982 and 50996. The biggest common factor number is the GCF number.
So the greatest common factor 50982 and 50996 is 2.

Also check out the Least Common Multiple of 50982 and 50996