What is the Greatest Common Factor of 44588 and 44608?

Greatest common factor (GCF) of 44588 and 44608 is 4.

GCF(44588,44608) = 4

We will now calculate the prime factors of 44588 and 44608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44588 and 44608.

How to find the GCF of 44588 and 44608?

We will first find the prime factorization of 44588 and 44608. After we will calculate the factors of 44588 and 44608 and find the biggest common factor number .

Step-1: Prime Factorization of 44588

Prime factors of 44588 are 2, 71, 157. Prime factorization of 44588 in exponential form is:

44588 = 2² × 71¹ × 157¹

Step-2: 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-3: Factors of 44588

List of positive integer factors of 44588 that divides 44588 without a remainder.

1, 2, 4, 71, 142, 157, 284, 314, 628, 11147, 22294

Step-4: Factors of 44608

List of positive integer factors of 44608 that divides 44588 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44588 and 44608. The biggest common factor number is the GCF number.
So the greatest common factor 44588 and 44608 is 4.

Also check out the Least Common Multiple of 44588 and 44608