What is the Greatest Common Factor of 94725 and 94740?

Greatest common factor (GCF) of 94725 and 94740 is 15.

GCF(94725,94740) = 15

We will now calculate the prime factors of 94725 and 94740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94725 and 94740.

How to find the GCF of 94725 and 94740?

We will first find the prime factorization of 94725 and 94740. After we will calculate the factors of 94725 and 94740 and find the biggest common factor number .

Step-1: Prime Factorization of 94725

Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:

94725 = 3² × 5² × 421¹

Step-2: Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 2² × 3¹ × 5¹ × 1579¹

Step-3: Factors of 94725

List of positive integer factors of 94725 that divides 94725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 421, 1263, 2105, 3789, 6315, 10525, 18945, 31575

Step-4: Factors of 94740

List of positive integer factors of 94740 that divides 94725 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1579, 3158, 4737, 6316, 7895, 9474, 15790, 18948, 23685, 31580, 47370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94725 and 94740. The biggest common factor number is the GCF number.
So the greatest common factor 94725 and 94740 is 15.

Also check out the Least Common Multiple of 94725 and 94740