What is the Greatest Common Factor of 94065 and 94075?

Greatest common factor (GCF) of 94065 and 94075 is 5.

GCF(94065,94075) = 5

We will now calculate the prime factors of 94065 and 94075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94065 and 94075.

How to find the GCF of 94065 and 94075?

We will first find the prime factorization of 94065 and 94075. After we will calculate the factors of 94065 and 94075 and find the biggest common factor number .

Step-1: Prime Factorization of 94065

Prime factors of 94065 are 3, 5, 6271. Prime factorization of 94065 in exponential form is:

94065 = 3¹ × 5¹ × 6271¹

Step-2: Prime Factorization of 94075

Prime factors of 94075 are 5, 53, 71. Prime factorization of 94075 in exponential form is:

94075 = 5² × 53¹ × 71¹

Step-3: Factors of 94065

List of positive integer factors of 94065 that divides 94065 without a remainder.

1, 3, 5, 15, 6271, 18813, 31355

Step-4: Factors of 94075

List of positive integer factors of 94075 that divides 94065 without a remainder.

1, 5, 25, 53, 71, 265, 355, 1325, 1775, 3763, 18815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94065 and 94075. The biggest common factor number is the GCF number.
So the greatest common factor 94065 and 94075 is 5.

Also check out the Least Common Multiple of 94065 and 94075