What is the Greatest Common Factor of 94515 and 94525?

Greatest common factor (GCF) of 94515 and 94525 is 5.

GCF(94515,94525) = 5

We will now calculate the prime factors of 94515 and 94525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94515 and 94525.

How to find the GCF of 94515 and 94525?

We will first find the prime factorization of 94515 and 94525. After we will calculate the factors of 94515 and 94525 and find the biggest common factor number .

Step-1: Prime Factorization of 94515

Prime factors of 94515 are 3, 5, 6301. Prime factorization of 94515 in exponential form is:

94515 = 3¹ × 5¹ × 6301¹

Step-2: Prime Factorization of 94525

Prime factors of 94525 are 5, 19, 199. Prime factorization of 94525 in exponential form is:

94525 = 5² × 19¹ × 199¹

Step-3: Factors of 94515

List of positive integer factors of 94515 that divides 94515 without a remainder.

1, 3, 5, 15, 6301, 18903, 31505

Step-4: Factors of 94525

List of positive integer factors of 94525 that divides 94515 without a remainder.

1, 5, 19, 25, 95, 199, 475, 995, 3781, 4975, 18905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94515 and 94525. The biggest common factor number is the GCF number.
So the greatest common factor 94515 and 94525 is 5.

Also check out the Least Common Multiple of 94515 and 94525