What is the Greatest Common Factor of 94695 and 94710?

Greatest common factor (GCF) of 94695 and 94710 is 15.

GCF(94695,94710) = 15

We will now calculate the prime factors of 94695 and 94710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94695 and 94710.

How to find the GCF of 94695 and 94710?

We will first find the prime factorization of 94695 and 94710. After we will calculate the factors of 94695 and 94710 and find the biggest common factor number .

Step-1: Prime Factorization of 94695

Prime factors of 94695 are 3, 5, 59, 107. Prime factorization of 94695 in exponential form is:

94695 = 3¹ × 5¹ × 59¹ × 107¹

Step-2: 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-3: Factors of 94695

List of positive integer factors of 94695 that divides 94695 without a remainder.

1, 3, 5, 15, 59, 107, 177, 295, 321, 535, 885, 1605, 6313, 18939, 31565

Step-4: Factors of 94710

List of positive integer factors of 94710 that divides 94695 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94695 and 94710. The biggest common factor number is the GCF number.
So the greatest common factor 94695 and 94710 is 15.

Also check out the Least Common Multiple of 94695 and 94710