What is the Greatest Common Factor of 44608 and 44628?

Greatest common factor (GCF) of 44608 and 44628 is 4.

GCF(44608,44628) = 4

We will now calculate the prime factors of 44608 and 44628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44608 and 44628.

How to find the GCF of 44608 and 44628?

We will first find the prime factorization of 44608 and 44628. After we will calculate the factors of 44608 and 44628 and find the biggest common factor number .

Step-1: Prime Factorization of 44608

Prime factors of 44608 are 2, 17, 41. Prime factorization of 44608 in exponential form is:

44608 = 2⁶ × 17¹ × 41¹

Step-2: 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-3: Factors of 44608

List of positive integer factors of 44608 that divides 44608 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 41, 64, 68, 82, 136, 164, 272, 328, 544, 656, 697, 1088, 1312, 1394, 2624, 2788, 5576, 11152, 22304

Step-4: Factors of 44628

List of positive integer factors of 44628 that divides 44608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44608 and 44628. The biggest common factor number is the GCF number.
So the greatest common factor 44608 and 44628 is 4.

Also check out the Least Common Multiple of 44608 and 44628