What is the Greatest Common Factor of 50964 and 50971?

Greatest common factor (GCF) of 50964 and 50971 is 1.

GCF(50964,50971) = 1

We will now calculate the prime factors of 50964 and 50971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50964 and 50971.

How to find the GCF of 50964 and 50971?

We will first find the prime factorization of 50964 and 50971. After we will calculate the factors of 50964 and 50971 and find the biggest common factor number .

Step-1: Prime Factorization of 50964

Prime factors of 50964 are 2, 3, 31, 137. Prime factorization of 50964 in exponential form is:

50964 = 2² × 3¹ × 31¹ × 137¹

Step-2: Prime Factorization of 50971

Prime factors of 50971 are 50971. Prime factorization of 50971 in exponential form is:

50971 = 50971¹

Step-3: Factors of 50964

List of positive integer factors of 50964 that divides 50964 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 137, 186, 274, 372, 411, 548, 822, 1644, 4247, 8494, 12741, 16988, 25482

Step-4: Factors of 50971

List of positive integer factors of 50971 that divides 50964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50964 and 50971. The biggest common factor number is the GCF number.
So the greatest common factor 50964 and 50971 is 1.

Also check out the Least Common Multiple of 50964 and 50971