What is the Greatest Common Factor of 44312 and 44332?

Greatest common factor (GCF) of 44312 and 44332 is 4.

GCF(44312,44332) = 4

We will now calculate the prime factors of 44312 and 44332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44312 and 44332.

How to find the GCF of 44312 and 44332?

We will first find the prime factorization of 44312 and 44332. After we will calculate the factors of 44312 and 44332 and find the biggest common factor number .

Step-1: Prime Factorization of 44312

Prime factors of 44312 are 2, 29, 191. Prime factorization of 44312 in exponential form is:

44312 = 2³ × 29¹ × 191¹

Step-2: Prime Factorization of 44332

Prime factors of 44332 are 2, 11083. Prime factorization of 44332 in exponential form is:

44332 = 2² × 11083¹

Step-3: Factors of 44312

List of positive integer factors of 44312 that divides 44312 without a remainder.

1, 2, 4, 8, 29, 58, 116, 191, 232, 382, 764, 1528, 5539, 11078, 22156

Step-4: Factors of 44332

List of positive integer factors of 44332 that divides 44312 without a remainder.

1, 2, 4, 11083, 22166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44312 and 44332. The biggest common factor number is the GCF number.
So the greatest common factor 44312 and 44332 is 4.

Also check out the Least Common Multiple of 44312 and 44332