What is the Greatest Common Factor of 94710 and 94725?

Greatest common factor (GCF) of 94710 and 94725 is 15.

GCF(94710,94725) = 15

We will now calculate the prime factors of 94710 and 94725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94710 and 94725.

How to find the GCF of 94710 and 94725?

We will first find the prime factorization of 94710 and 94725. After we will calculate the factors of 94710 and 94725 and find the biggest common factor number .

Step-1: Prime Factorization of 94710

Prime factors of 94710 are 2, 3, 5, 7, 11, 41. Prime factorization of 94710 in exponential form is:

94710 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 41¹

Step-2: 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-3: Factors of 94710

List of positive integer factors of 94710 that divides 94710 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 41, 42, 55, 66, 70, 77, 82, 105, 110, 123, 154, 165, 205, 210, 231, 246, 287, 330, 385, 410, 451, 462, 574, 615, 770, 861, 902, 1155, 1230, 1353, 1435, 1722, 2255, 2310, 2706, 2870, 3157, 4305, 4510, 6314, 6765, 8610, 9471, 13530, 15785, 18942, 31570, 47355

Step-4: Factors of 94725

List of positive integer factors of 94725 that divides 94710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94710 and 94725. The biggest common factor number is the GCF number.
So the greatest common factor 94710 and 94725 is 15.

Also check out the Least Common Multiple of 94710 and 94725