What is the Greatest Common Factor of 94770 and 94785?

Greatest common factor (GCF) of 94770 and 94785 is 15.

GCF(94770,94785) = 15

We will now calculate the prime factors of 94770 and 94785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94770 and 94785.

How to find the GCF of 94770 and 94785?

We will first find the prime factorization of 94770 and 94785. After we will calculate the factors of 94770 and 94785 and find the biggest common factor number .

Step-1: Prime Factorization of 94770

Prime factors of 94770 are 2, 3, 5, 13. Prime factorization of 94770 in exponential form is:

94770 = 2¹ × 3⁶ × 5¹ × 13¹

Step-2: Prime Factorization of 94785

Prime factors of 94785 are 3, 5, 71, 89. Prime factorization of 94785 in exponential form is:

94785 = 3¹ × 5¹ × 71¹ × 89¹

Step-3: Factors of 94770

List of positive integer factors of 94770 that divides 94770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 81, 90, 117, 130, 135, 162, 195, 234, 243, 270, 351, 390, 405, 486, 585, 702, 729, 810, 1053, 1170, 1215, 1458, 1755, 2106, 2430, 3159, 3510, 3645, 5265, 6318, 7290, 9477, 10530, 15795, 18954, 31590, 47385

Step-4: Factors of 94785

List of positive integer factors of 94785 that divides 94770 without a remainder.

1, 3, 5, 15, 71, 89, 213, 267, 355, 445, 1065, 1335, 6319, 18957, 31595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94770 and 94785. The biggest common factor number is the GCF number.
So the greatest common factor 94770 and 94785 is 15.

Also check out the Least Common Multiple of 94770 and 94785