What is the Greatest Common Factor of 50952 and 50967?

Greatest common factor (GCF) of 50952 and 50967 is 3.

GCF(50952,50967) = 3

We will now calculate the prime factors of 50952 and 50967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50952 and 50967.

How to find the GCF of 50952 and 50967?

We will first find the prime factorization of 50952 and 50967. After we will calculate the factors of 50952 and 50967 and find the biggest common factor number .

Step-1: Prime Factorization of 50952

Prime factors of 50952 are 2, 3, 11, 193. Prime factorization of 50952 in exponential form is:

50952 = 2³ × 3¹ × 11¹ × 193¹

Step-2: Prime Factorization of 50967

Prime factors of 50967 are 3, 7, 809. Prime factorization of 50967 in exponential form is:

50967 = 3² × 7¹ × 809¹

Step-3: Factors of 50952

List of positive integer factors of 50952 that divides 50952 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 193, 264, 386, 579, 772, 1158, 1544, 2123, 2316, 4246, 4632, 6369, 8492, 12738, 16984, 25476

Step-4: Factors of 50967

List of positive integer factors of 50967 that divides 50952 without a remainder.

1, 3, 7, 9, 21, 63, 809, 2427, 5663, 7281, 16989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50952 and 50967. The biggest common factor number is the GCF number.
So the greatest common factor 50952 and 50967 is 3.

Also check out the Least Common Multiple of 50952 and 50967