What is the Greatest Common Factor of 44271 and 44277?

Greatest common factor (GCF) of 44271 and 44277 is 3.

GCF(44271,44277) = 3

We will now calculate the prime factors of 44271 and 44277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44271 and 44277.

How to find the GCF of 44271 and 44277?

We will first find the prime factorization of 44271 and 44277. After we will calculate the factors of 44271 and 44277 and find the biggest common factor number .

Step-1: Prime Factorization of 44271

Prime factors of 44271 are 3, 4919. Prime factorization of 44271 in exponential form is:

44271 = 3² × 4919¹

Step-2: Prime Factorization of 44277

Prime factors of 44277 are 3, 14759. Prime factorization of 44277 in exponential form is:

44277 = 3¹ × 14759¹

Step-3: Factors of 44271

List of positive integer factors of 44271 that divides 44271 without a remainder.

1, 3, 9, 4919, 14757

Step-4: Factors of 44277

List of positive integer factors of 44277 that divides 44271 without a remainder.

1, 3, 14759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44271 and 44277. The biggest common factor number is the GCF number.
So the greatest common factor 44271 and 44277 is 3.

Also check out the Least Common Multiple of 44271 and 44277