What is the Greatest Common Factor of 44605 and 44616?

Greatest common factor (GCF) of 44605 and 44616 is 11.

GCF(44605,44616) = 11

We will now calculate the prime factors of 44605 and 44616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44605 and 44616.

How to find the GCF of 44605 and 44616?

We will first find the prime factorization of 44605 and 44616. After we will calculate the factors of 44605 and 44616 and find the biggest common factor number .

Step-1: Prime Factorization of 44605

Prime factors of 44605 are 5, 11, 811. Prime factorization of 44605 in exponential form is:

44605 = 5¹ × 11¹ × 811¹

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 44605

List of positive integer factors of 44605 that divides 44605 without a remainder.

1, 5, 11, 55, 811, 4055, 8921

Step-4: Factors of 44616

List of positive integer factors of 44616 that divides 44605 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 44605 and 44616. The biggest common factor number is the GCF number.
So the greatest common factor 44605 and 44616 is 11.

Also check out the Least Common Multiple of 44605 and 44616