What is the Greatest Common Factor of 94704 and 94718?

Greatest common factor (GCF) of 94704 and 94718 is 2.

GCF(94704,94718) = 2

We will now calculate the prime factors of 94704 and 94718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94704 and 94718.

How to find the GCF of 94704 and 94718?

We will first find the prime factorization of 94704 and 94718. After we will calculate the factors of 94704 and 94718 and find the biggest common factor number .

Step-1: Prime Factorization of 94704

Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:

94704 = 2⁴ × 3¹ × 1973¹

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 94704

List of positive integer factors of 94704 that divides 94704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 31568, 47352

Step-4: Factors of 94718

List of positive integer factors of 94718 that divides 94704 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94704 and 94718. The biggest common factor number is the GCF number.
So the greatest common factor 94704 and 94718 is 2.

Also check out the Least Common Multiple of 94704 and 94718