What is the Greatest Common Factor of 94785 and 94790?

Greatest common factor (GCF) of 94785 and 94790 is 5.

GCF(94785,94790) = 5

We will now calculate the prime factors of 94785 and 94790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94785 and 94790.

How to find the GCF of 94785 and 94790?

We will first find the prime factorization of 94785 and 94790. After we will calculate the factors of 94785 and 94790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94790

Prime factors of 94790 are 2, 5, 9479. Prime factorization of 94790 in exponential form is:

94790 = 2¹ × 5¹ × 9479¹

Step-3: Factors of 94785

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

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

Step-4: Factors of 94790

List of positive integer factors of 94790 that divides 94785 without a remainder.

1, 2, 5, 10, 9479, 18958, 47395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94785 and 94790. The biggest common factor number is the GCF number.
So the greatest common factor 94785 and 94790 is 5.

Also check out the Least Common Multiple of 94785 and 94790