What is the Greatest Common Factor of 52950 and 52968?

Greatest common factor (GCF) of 52950 and 52968 is 6.

GCF(52950,52968) = 6

We will now calculate the prime factors of 52950 and 52968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52950 and 52968.

How to find the GCF of 52950 and 52968?

We will first find the prime factorization of 52950 and 52968. After we will calculate the factors of 52950 and 52968 and find the biggest common factor number .

Step-1: Prime Factorization of 52950

Prime factors of 52950 are 2, 3, 5, 353. Prime factorization of 52950 in exponential form is:

52950 = 2¹ × 3¹ × 5² × 353¹

Step-2: Prime Factorization of 52968

Prime factors of 52968 are 2, 3, 2207. Prime factorization of 52968 in exponential form is:

52968 = 2³ × 3¹ × 2207¹

Step-3: Factors of 52950

List of positive integer factors of 52950 that divides 52950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 353, 706, 1059, 1765, 2118, 3530, 5295, 8825, 10590, 17650, 26475

Step-4: Factors of 52968

List of positive integer factors of 52968 that divides 52950 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2207, 4414, 6621, 8828, 13242, 17656, 26484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52950 and 52968. The biggest common factor number is the GCF number.
So the greatest common factor 52950 and 52968 is 6.

Also check out the Least Common Multiple of 52950 and 52968