What is the Greatest Common Factor of 50972 and 50982?

Greatest common factor (GCF) of 50972 and 50982 is 2.

GCF(50972,50982) = 2

We will now calculate the prime factors of 50972 and 50982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50972 and 50982.

How to find the GCF of 50972 and 50982?

We will first find the prime factorization of 50972 and 50982. After we will calculate the factors of 50972 and 50982 and find the biggest common factor number .

Step-1: Prime Factorization of 50972

Prime factors of 50972 are 2, 12743. Prime factorization of 50972 in exponential form is:

50972 = 2² × 12743¹

Step-2: 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-3: Factors of 50972

List of positive integer factors of 50972 that divides 50972 without a remainder.

1, 2, 4, 12743, 25486

Step-4: Factors of 50982

List of positive integer factors of 50982 that divides 50972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50972 and 50982. The biggest common factor number is the GCF number.
So the greatest common factor 50972 and 50982 is 2.

Also check out the Least Common Multiple of 50972 and 50982