What is the Greatest Common Factor of 94432 and 94445?

Greatest common factor (GCF) of 94432 and 94445 is 13.

GCF(94432,94445) = 13

We will now calculate the prime factors of 94432 and 94445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94432 and 94445.

How to find the GCF of 94432 and 94445?

We will first find the prime factorization of 94432 and 94445. After we will calculate the factors of 94432 and 94445 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 94445

Prime factors of 94445 are 5, 13, 1453. Prime factorization of 94445 in exponential form is:

94445 = 5¹ × 13¹ × 1453¹

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 94445

List of positive integer factors of 94445 that divides 94432 without a remainder.

1, 5, 13, 65, 1453, 7265, 18889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94432 and 94445. The biggest common factor number is the GCF number.
So the greatest common factor 94432 and 94445 is 13.

Also check out the Least Common Multiple of 94432 and 94445