What is the Greatest Common Factor of 44628 and 44632?

Greatest common factor (GCF) of 44628 and 44632 is 4.

GCF(44628,44632) = 4

We will now calculate the prime factors of 44628 and 44632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44628 and 44632.

How to find the GCF of 44628 and 44632?

We will first find the prime factorization of 44628 and 44632. After we will calculate the factors of 44628 and 44632 and find the biggest common factor number .

Step-1: Prime Factorization of 44628

Prime factors of 44628 are 2, 3, 3719. Prime factorization of 44628 in exponential form is:

44628 = 2² × 3¹ × 3719¹

Step-2: Prime Factorization of 44632

Prime factors of 44632 are 2, 7, 797. Prime factorization of 44632 in exponential form is:

44632 = 2³ × 7¹ × 797¹

Step-3: Factors of 44628

List of positive integer factors of 44628 that divides 44628 without a remainder.

1, 2, 3, 4, 6, 12, 3719, 7438, 11157, 14876, 22314

Step-4: Factors of 44632

List of positive integer factors of 44632 that divides 44628 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 797, 1594, 3188, 5579, 6376, 11158, 22316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44628 and 44632. The biggest common factor number is the GCF number.
So the greatest common factor 44628 and 44632 is 4.

Also check out the Least Common Multiple of 44628 and 44632