What is the Greatest Common Factor of 74432 and 74444?

Greatest common factor (GCF) of 74432 and 74444 is 4.

GCF(74432,74444) = 4

We will now calculate the prime factors of 74432 and 74444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74432 and 74444.

How to find the GCF of 74432 and 74444?

We will first find the prime factorization of 74432 and 74444. After we will calculate the factors of 74432 and 74444 and find the biggest common factor number .

Step-1: Prime Factorization of 74432

Prime factors of 74432 are 2, 1163. Prime factorization of 74432 in exponential form is:

74432 = 2⁶ × 1163¹

Step-2: Prime Factorization of 74444

Prime factors of 74444 are 2, 37, 503. Prime factorization of 74444 in exponential form is:

74444 = 2² × 37¹ × 503¹

Step-3: Factors of 74432

List of positive integer factors of 74432 that divides 74432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1163, 2326, 4652, 9304, 18608, 37216

Step-4: Factors of 74444

List of positive integer factors of 74444 that divides 74432 without a remainder.

1, 2, 4, 37, 74, 148, 503, 1006, 2012, 18611, 37222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74432 and 74444. The biggest common factor number is the GCF number.
So the greatest common factor 74432 and 74444 is 4.

Also check out the Least Common Multiple of 74432 and 74444