What is the Greatest Common Factor of 44596 and 44616?

Greatest common factor (GCF) of 44596 and 44616 is 4.

GCF(44596,44616) = 4

We will now calculate the prime factors of 44596 and 44616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44596 and 44616.

How to find the GCF of 44596 and 44616?

We will first find the prime factorization of 44596 and 44616. After we will calculate the factors of 44596 and 44616 and find the biggest common factor number .

Step-1: Prime Factorization of 44596

Prime factors of 44596 are 2, 11149. Prime factorization of 44596 in exponential form is:

44596 = 2² × 11149¹

Step-2: Prime Factorization of 44616

Prime factors of 44616 are 2, 3, 11, 13. Prime factorization of 44616 in exponential form is:

44616 = 2³ × 3¹ × 11¹ × 13²

Step-3: Factors of 44596

List of positive integer factors of 44596 that divides 44596 without a remainder.

1, 2, 4, 11149, 22298

Step-4: Factors of 44616

List of positive integer factors of 44616 that divides 44596 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 169, 264, 286, 312, 338, 429, 507, 572, 676, 858, 1014, 1144, 1352, 1716, 1859, 2028, 3432, 3718, 4056, 5577, 7436, 11154, 14872, 22308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44596 and 44616. The biggest common factor number is the GCF number.
So the greatest common factor 44596 and 44616 is 4.

Also check out the Least Common Multiple of 44596 and 44616