What is the Greatest Common Factor of 94660 and 94675?

Greatest common factor (GCF) of 94660 and 94675 is 5.

GCF(94660,94675) = 5

We will now calculate the prime factors of 94660 and 94675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94660 and 94675.

How to find the GCF of 94660 and 94675?

We will first find the prime factorization of 94660 and 94675. After we will calculate the factors of 94660 and 94675 and find the biggest common factor number .

Step-1: Prime Factorization of 94660

Prime factors of 94660 are 2, 5, 4733. Prime factorization of 94660 in exponential form is:

94660 = 2² × 5¹ × 4733¹

Step-2: Prime Factorization of 94675

Prime factors of 94675 are 5, 7, 541. Prime factorization of 94675 in exponential form is:

94675 = 5² × 7¹ × 541¹

Step-3: Factors of 94660

List of positive integer factors of 94660 that divides 94660 without a remainder.

1, 2, 4, 5, 10, 20, 4733, 9466, 18932, 23665, 47330

Step-4: Factors of 94675

List of positive integer factors of 94675 that divides 94660 without a remainder.

1, 5, 7, 25, 35, 175, 541, 2705, 3787, 13525, 18935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94660 and 94675. The biggest common factor number is the GCF number.
So the greatest common factor 94660 and 94675 is 5.

Also check out the Least Common Multiple of 94660 and 94675