What is the Greatest Common Factor of 94685 and 94690?

Greatest common factor (GCF) of 94685 and 94690 is 5.

GCF(94685,94690) = 5

We will now calculate the prime factors of 94685 and 94690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94685 and 94690.

How to find the GCF of 94685 and 94690?

We will first find the prime factorization of 94685 and 94690. After we will calculate the factors of 94685 and 94690 and find the biggest common factor number .

Step-1: Prime Factorization of 94685

Prime factors of 94685 are 5, 29, 653. Prime factorization of 94685 in exponential form is:

94685 = 5¹ × 29¹ × 653¹

Step-2: Prime Factorization of 94690

Prime factors of 94690 are 2, 5, 17, 557. Prime factorization of 94690 in exponential form is:

94690 = 2¹ × 5¹ × 17¹ × 557¹

Step-3: Factors of 94685

List of positive integer factors of 94685 that divides 94685 without a remainder.

1, 5, 29, 145, 653, 3265, 18937

Step-4: Factors of 94690

List of positive integer factors of 94690 that divides 94685 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 557, 1114, 2785, 5570, 9469, 18938, 47345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94685 and 94690. The biggest common factor number is the GCF number.
So the greatest common factor 94685 and 94690 is 5.

Also check out the Least Common Multiple of 94685 and 94690