What is the Greatest Common Factor of 50964 and 50975?

Greatest common factor (GCF) of 50964 and 50975 is 1.

GCF(50964,50975) = 1

We will now calculate the prime factors of 50964 and 50975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50964 and 50975.

How to find the GCF of 50964 and 50975?

We will first find the prime factorization of 50964 and 50975. After we will calculate the factors of 50964 and 50975 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 50975

Prime factors of 50975 are 5, 2039. Prime factorization of 50975 in exponential form is:

50975 = 5² × 2039¹

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 50975

List of positive integer factors of 50975 that divides 50964 without a remainder.

1, 5, 25, 2039, 10195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50964 and 50975. The biggest common factor number is the GCF number.
So the greatest common factor 50964 and 50975 is 1.

Also check out the Least Common Multiple of 50964 and 50975