What is the Greatest Common Factor of 94705 and 94710?

Greatest common factor (GCF) of 94705 and 94710 is 5.

GCF(94705,94710) = 5

We will now calculate the prime factors of 94705 and 94710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94705 and 94710.

How to find the GCF of 94705 and 94710?

We will first find the prime factorization of 94705 and 94710. After we will calculate the factors of 94705 and 94710 and find the biggest common factor number .

Step-1: Prime Factorization of 94705

Prime factors of 94705 are 5, 13, 31, 47. Prime factorization of 94705 in exponential form is:

94705 = 5¹ × 13¹ × 31¹ × 47¹

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 94705

List of positive integer factors of 94705 that divides 94705 without a remainder.

1, 5, 13, 31, 47, 65, 155, 235, 403, 611, 1457, 2015, 3055, 7285, 18941

Step-4: Factors of 94710

List of positive integer factors of 94710 that divides 94705 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 94705 and 94710. The biggest common factor number is the GCF number.
So the greatest common factor 94705 and 94710 is 5.

Also check out the Least Common Multiple of 94705 and 94710