What is the Greatest Common Factor of 94950 and 94960?

Greatest common factor (GCF) of 94950 and 94960 is 10.

GCF(94950,94960) = 10

We will now calculate the prime factors of 94950 and 94960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94950 and 94960.

How to find the GCF of 94950 and 94960?

We will first find the prime factorization of 94950 and 94960. After we will calculate the factors of 94950 and 94960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94960

Prime factors of 94960 are 2, 5, 1187. Prime factorization of 94960 in exponential form is:

94960 = 2⁴ × 5¹ × 1187¹

Step-3: Factors of 94950

List of positive integer factors of 94950 that divides 94950 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

Step-4: Factors of 94960

List of positive integer factors of 94960 that divides 94950 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1187, 2374, 4748, 5935, 9496, 11870, 18992, 23740, 47480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94950 and 94960. The biggest common factor number is the GCF number.
So the greatest common factor 94950 and 94960 is 10.

Also check out the Least Common Multiple of 94950 and 94960