What is the Greatest Common Factor of 44331 and 44337?

Greatest common factor (GCF) of 44331 and 44337 is 3.

GCF(44331,44337) = 3

We will now calculate the prime factors of 44331 and 44337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44331 and 44337.

How to find the GCF of 44331 and 44337?

We will first find the prime factorization of 44331 and 44337. After we will calculate the factors of 44331 and 44337 and find the biggest common factor number .

Step-1: Prime Factorization of 44331

Prime factors of 44331 are 3, 7, 2111. Prime factorization of 44331 in exponential form is:

44331 = 3¹ × 7¹ × 2111¹

Step-2: Prime Factorization of 44337

Prime factors of 44337 are 3, 14779. Prime factorization of 44337 in exponential form is:

44337 = 3¹ × 14779¹

Step-3: Factors of 44331

List of positive integer factors of 44331 that divides 44331 without a remainder.

1, 3, 7, 21, 2111, 6333, 14777

Step-4: Factors of 44337

List of positive integer factors of 44337 that divides 44331 without a remainder.

1, 3, 14779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44331 and 44337. The biggest common factor number is the GCF number.
So the greatest common factor 44331 and 44337 is 3.

Also check out the Least Common Multiple of 44331 and 44337