What is the Greatest Common Factor of 44652 and 44672?

Greatest common factor (GCF) of 44652 and 44672 is 4.

GCF(44652,44672) = 4

We will now calculate the prime factors of 44652 and 44672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44652 and 44672.

How to find the GCF of 44652 and 44672?

We will first find the prime factorization of 44652 and 44672. After we will calculate the factors of 44652 and 44672 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 44672

Prime factors of 44672 are 2, 349. Prime factorization of 44672 in exponential form is:

44672 = 2⁷ × 349¹

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 44672

List of positive integer factors of 44672 that divides 44652 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 349, 698, 1396, 2792, 5584, 11168, 22336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44652 and 44672. The biggest common factor number is the GCF number.
So the greatest common factor 44652 and 44672 is 4.

Also check out the Least Common Multiple of 44652 and 44672