What is the Greatest Common Factor of 94960 and 94975?

Greatest common factor (GCF) of 94960 and 94975 is 5.

GCF(94960,94975) = 5

We will now calculate the prime factors of 94960 and 94975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94960 and 94975.

How to find the GCF of 94960 and 94975?

We will first find the prime factorization of 94960 and 94975. After we will calculate the factors of 94960 and 94975 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94975

Prime factors of 94975 are 5, 29, 131. Prime factorization of 94975 in exponential form is:

94975 = 5² × 29¹ × 131¹

Step-3: Factors of 94960

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

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

Step-4: Factors of 94975

List of positive integer factors of 94975 that divides 94960 without a remainder.

1, 5, 25, 29, 131, 145, 655, 725, 3275, 3799, 18995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94960 and 94975. The biggest common factor number is the GCF number.
So the greatest common factor 94960 and 94975 is 5.

Also check out the Least Common Multiple of 94960 and 94975