What is the Greatest Common Factor of 44324 and 44331?

Greatest common factor (GCF) of 44324 and 44331 is 7.

GCF(44324,44331) = 7

We will now calculate the prime factors of 44324 and 44331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44324 and 44331.

How to find the GCF of 44324 and 44331?

We will first find the prime factorization of 44324 and 44331. After we will calculate the factors of 44324 and 44331 and find the biggest common factor number .

Step-1: Prime Factorization of 44324

Prime factors of 44324 are 2, 7, 1583. Prime factorization of 44324 in exponential form is:

44324 = 2² × 7¹ × 1583¹

Step-2: 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-3: Factors of 44324

List of positive integer factors of 44324 that divides 44324 without a remainder.

1, 2, 4, 7, 14, 28, 1583, 3166, 6332, 11081, 22162

Step-4: Factors of 44331

List of positive integer factors of 44331 that divides 44324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44324 and 44331. The biggest common factor number is the GCF number.
So the greatest common factor 44324 and 44331 is 7.

Also check out the Least Common Multiple of 44324 and 44331