What is the Greatest Common Factor of 94932 and 94950?

Greatest common factor (GCF) of 94932 and 94950 is 18.

GCF(94932,94950) = 18

We will now calculate the prime factors of 94932 and 94950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94932 and 94950.

How to find the GCF of 94932 and 94950?

We will first find the prime factorization of 94932 and 94950. After we will calculate the factors of 94932 and 94950 and find the biggest common factor number .

Step-1: Prime Factorization of 94932

Prime factors of 94932 are 2, 3, 293. Prime factorization of 94932 in exponential form is:

94932 = 2² × 3⁴ × 293¹

Step-2: Prime Factorization of 94950

Prime factors of 94950 are 2, 3, 5, 211. Prime factorization of 94950 in exponential form is:

94950 = 2¹ × 3² × 5² × 211¹

Step-3: Factors of 94932

List of positive integer factors of 94932 that divides 94932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 293, 324, 586, 879, 1172, 1758, 2637, 3516, 5274, 7911, 10548, 15822, 23733, 31644, 47466

Step-4: Factors of 94950

List of positive integer factors of 94950 that divides 94932 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 211, 225, 422, 450, 633, 1055, 1266, 1899, 2110, 3165, 3798, 5275, 6330, 9495, 10550, 15825, 18990, 31650, 47475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94932 and 94950. The biggest common factor number is the GCF number.
So the greatest common factor 94932 and 94950 is 18.

Also check out the Least Common Multiple of 94932 and 94950