What is the Greatest Common Factor of 44312 and 44316?

Greatest common factor (GCF) of 44312 and 44316 is 4.

GCF(44312,44316) = 4

We will now calculate the prime factors of 44312 and 44316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44312 and 44316.

How to find the GCF of 44312 and 44316?

We will first find the prime factorization of 44312 and 44316. After we will calculate the factors of 44312 and 44316 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 44316

Prime factors of 44316 are 2, 3, 1231. Prime factorization of 44316 in exponential form is:

44316 = 2² × 3² × 1231¹

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 44316

List of positive integer factors of 44316 that divides 44312 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1231, 2462, 3693, 4924, 7386, 11079, 14772, 22158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44312 and 44316. The biggest common factor number is the GCF number.
So the greatest common factor 44312 and 44316 is 4.

Also check out the Least Common Multiple of 44312 and 44316