What is the Greatest Common Factor of 94705 and 94718?

Greatest common factor (GCF) of 94705 and 94718 is 13.

GCF(94705,94718) = 13

We will now calculate the prime factors of 94705 and 94718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94705 and 94718.

How to find the GCF of 94705 and 94718?

We will first find the prime factorization of 94705 and 94718. After we will calculate the factors of 94705 and 94718 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 94718

Prime factors of 94718 are 2, 13, 3643. Prime factorization of 94718 in exponential form is:

94718 = 2¹ × 13¹ × 3643¹

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 94718

List of positive integer factors of 94718 that divides 94705 without a remainder.

1, 2, 13, 26, 3643, 7286, 47359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94705 and 94718. The biggest common factor number is the GCF number.
So the greatest common factor 94705 and 94718 is 13.

Also check out the Least Common Multiple of 94705 and 94718