What is the Greatest Common Factor of 94480 and 94496?

Greatest common factor (GCF) of 94480 and 94496 is 16.

GCF(94480,94496) = 16

We will now calculate the prime factors of 94480 and 94496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94480 and 94496.

How to find the GCF of 94480 and 94496?

We will first find the prime factorization of 94480 and 94496. After we will calculate the factors of 94480 and 94496 and find the biggest common factor number .

Step-1: Prime Factorization of 94480

Prime factors of 94480 are 2, 5, 1181. Prime factorization of 94480 in exponential form is:

94480 = 2⁴ × 5¹ × 1181¹

Step-2: Prime Factorization of 94496

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

94496 = 2⁵ × 2953¹

Step-3: Factors of 94480

List of positive integer factors of 94480 that divides 94480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1181, 2362, 4724, 5905, 9448, 11810, 18896, 23620, 47240

Step-4: Factors of 94496

List of positive integer factors of 94496 that divides 94480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94480 and 94496. The biggest common factor number is the GCF number.
So the greatest common factor 94480 and 94496 is 16.

Also check out the Least Common Multiple of 94480 and 94496