What is the Greatest Common Factor of 94432 and 94448?

Greatest common factor (GCF) of 94432 and 94448 is 16.

GCF(94432,94448) = 16

We will now calculate the prime factors of 94432 and 94448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94432 and 94448.

How to find the GCF of 94432 and 94448?

We will first find the prime factorization of 94432 and 94448. After we will calculate the factors of 94432 and 94448 and find the biggest common factor number .

Step-1: Prime Factorization of 94432

Prime factors of 94432 are 2, 13, 227. Prime factorization of 94432 in exponential form is:

94432 = 2⁵ × 13¹ × 227¹

Step-2: Prime Factorization of 94448

Prime factors of 94448 are 2, 5903. Prime factorization of 94448 in exponential form is:

94448 = 2⁴ × 5903¹

Step-3: Factors of 94432

List of positive integer factors of 94432 that divides 94432 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 227, 416, 454, 908, 1816, 2951, 3632, 5902, 7264, 11804, 23608, 47216

Step-4: Factors of 94448

List of positive integer factors of 94448 that divides 94432 without a remainder.

1, 2, 4, 8, 16, 5903, 11806, 23612, 47224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94432 and 94448. The biggest common factor number is the GCF number.
So the greatest common factor 94432 and 94448 is 16.

Also check out the Least Common Multiple of 94432 and 94448