What is the Greatest Common Factor of 50982 and 50994?

Greatest common factor (GCF) of 50982 and 50994 is 6.

GCF(50982,50994) = 6

We will now calculate the prime factors of 50982 and 50994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50982 and 50994.

How to find the GCF of 50982 and 50994?

We will first find the prime factorization of 50982 and 50994. After we will calculate the factors of 50982 and 50994 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 50994

Prime factors of 50994 are 2, 3, 2833. Prime factorization of 50994 in exponential form is:

50994 = 2¹ × 3² × 2833¹

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 50994

List of positive integer factors of 50994 that divides 50982 without a remainder.

1, 2, 3, 6, 9, 18, 2833, 5666, 8499, 16998, 25497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50982 and 50994. The biggest common factor number is the GCF number.
So the greatest common factor 50982 and 50994 is 6.

Also check out the Least Common Multiple of 50982 and 50994