What is the Greatest Common Factor of 94496 and 94502?

Greatest common factor (GCF) of 94496 and 94502 is 2.

GCF(94496,94502) = 2

We will now calculate the prime factors of 94496 and 94502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94496 and 94502.

How to find the GCF of 94496 and 94502?

We will first find the prime factorization of 94496 and 94502. After we will calculate the factors of 94496 and 94502 and find the biggest common factor number .

Step-1: Prime Factorization of 94496

Prime factors of 94496 are 2, 2953. Prime factorization of 94496 in exponential form is:

94496 = 2⁵ × 2953¹

Step-2: Prime Factorization of 94502

Prime factors of 94502 are 2, 47251. Prime factorization of 94502 in exponential form is:

94502 = 2¹ × 47251¹

Step-3: Factors of 94496

List of positive integer factors of 94496 that divides 94496 without a remainder.

1, 2, 4, 8, 16, 32, 2953, 5906, 11812, 23624, 47248

Step-4: Factors of 94502

List of positive integer factors of 94502 that divides 94496 without a remainder.

1, 2, 47251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94496 and 94502. The biggest common factor number is the GCF number.
So the greatest common factor 94496 and 94502 is 2.

Also check out the Least Common Multiple of 94496 and 94502