What is the Greatest Common Factor of 94710 and 94724?

Greatest common factor (GCF) of 94710 and 94724 is 14.

GCF(94710,94724) = 14

We will now calculate the prime factors of 94710 and 94724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94710 and 94724.

How to find the GCF of 94710 and 94724?

We will first find the prime factorization of 94710 and 94724. After we will calculate the factors of 94710 and 94724 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 94724

Prime factors of 94724 are 2, 7, 17, 199. Prime factorization of 94724 in exponential form is:

94724 = 2² × 7¹ × 17¹ × 199¹

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 94724

List of positive integer factors of 94724 that divides 94710 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 199, 238, 398, 476, 796, 1393, 2786, 3383, 5572, 6766, 13532, 23681, 47362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94710 and 94724. The biggest common factor number is the GCF number.
So the greatest common factor 94710 and 94724 is 14.

Also check out the Least Common Multiple of 94710 and 94724