What is the Greatest Common Factor of 94700 and 94710?

Greatest common factor (GCF) of 94700 and 94710 is 10.

GCF(94700,94710) = 10

We will now calculate the prime factors of 94700 and 94710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94700 and 94710.

How to find the GCF of 94700 and 94710?

We will first find the prime factorization of 94700 and 94710. After we will calculate the factors of 94700 and 94710 and find the biggest common factor number .

Step-1: Prime Factorization of 94700

Prime factors of 94700 are 2, 5, 947. Prime factorization of 94700 in exponential form is:

94700 = 2² × 5² × 947¹

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 94700

List of positive integer factors of 94700 that divides 94700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 947, 1894, 3788, 4735, 9470, 18940, 23675, 47350

Step-4: Factors of 94710

List of positive integer factors of 94710 that divides 94700 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 94700 and 94710. The biggest common factor number is the GCF number.
So the greatest common factor 94700 and 94710 is 10.

Also check out the Least Common Multiple of 94700 and 94710