What is the Greatest Common Factor of 94695 and 94713?

Greatest common factor (GCF) of 94695 and 94713 is 3.

GCF(94695,94713) = 3

We will now calculate the prime factors of 94695 and 94713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94695 and 94713.

How to find the GCF of 94695 and 94713?

We will first find the prime factorization of 94695 and 94713. After we will calculate the factors of 94695 and 94713 and find the biggest common factor number .

Step-1: Prime Factorization of 94695

Prime factors of 94695 are 3, 5, 59, 107. Prime factorization of 94695 in exponential form is:

94695 = 3¹ × 5¹ × 59¹ × 107¹

Step-2: Prime Factorization of 94713

Prime factors of 94713 are 3, 131, 241. Prime factorization of 94713 in exponential form is:

94713 = 3¹ × 131¹ × 241¹

Step-3: Factors of 94695

List of positive integer factors of 94695 that divides 94695 without a remainder.

1, 3, 5, 15, 59, 107, 177, 295, 321, 535, 885, 1605, 6313, 18939, 31565

Step-4: Factors of 94713

List of positive integer factors of 94713 that divides 94695 without a remainder.

1, 3, 131, 241, 393, 723, 31571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94695 and 94713. The biggest common factor number is the GCF number.
So the greatest common factor 94695 and 94713 is 3.

Also check out the Least Common Multiple of 94695 and 94713