What is the Greatest Common Factor of 44652 and 44667?

Greatest common factor (GCF) of 44652 and 44667 is 3.

GCF(44652,44667) = 3

We will now calculate the prime factors of 44652 and 44667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44652 and 44667.

How to find the GCF of 44652 and 44667?

We will first find the prime factorization of 44652 and 44667. After we will calculate the factors of 44652 and 44667 and find the biggest common factor number .

Step-1: Prime Factorization of 44652

Prime factors of 44652 are 2, 3, 61. Prime factorization of 44652 in exponential form is:

44652 = 2² × 3¹ × 61²

Step-2: Prime Factorization of 44667

Prime factors of 44667 are 3, 7, 709. Prime factorization of 44667 in exponential form is:

44667 = 3² × 7¹ × 709¹

Step-3: Factors of 44652

List of positive integer factors of 44652 that divides 44652 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732, 3721, 7442, 11163, 14884, 22326

Step-4: Factors of 44667

List of positive integer factors of 44667 that divides 44652 without a remainder.

1, 3, 7, 9, 21, 63, 709, 2127, 4963, 6381, 14889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44652 and 44667. The biggest common factor number is the GCF number.
So the greatest common factor 44652 and 44667 is 3.

Also check out the Least Common Multiple of 44652 and 44667