What is the Greatest Common Factor of 44772 and 44790?

Greatest common factor (GCF) of 44772 and 44790 is 6.

GCF(44772,44790) = 6

We will now calculate the prime factors of 44772 and 44790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44772 and 44790.

How to find the GCF of 44772 and 44790?

We will first find the prime factorization of 44772 and 44790. After we will calculate the factors of 44772 and 44790 and find the biggest common factor number .

Step-1: Prime Factorization of 44772

Prime factors of 44772 are 2, 3, 7, 13, 41. Prime factorization of 44772 in exponential form is:

44772 = 2² × 3¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 44790

Prime factors of 44790 are 2, 3, 5, 1493. Prime factorization of 44790 in exponential form is:

44790 = 2¹ × 3¹ × 5¹ × 1493¹

Step-3: Factors of 44772

List of positive integer factors of 44772 that divides 44772 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 41, 42, 52, 78, 82, 84, 91, 123, 156, 164, 182, 246, 273, 287, 364, 492, 533, 546, 574, 861, 1066, 1092, 1148, 1599, 1722, 2132, 3198, 3444, 3731, 6396, 7462, 11193, 14924, 22386

Step-4: Factors of 44790

List of positive integer factors of 44790 that divides 44772 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1493, 2986, 4479, 7465, 8958, 14930, 22395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44772 and 44790. The biggest common factor number is the GCF number.
So the greatest common factor 44772 and 44790 is 6.

Also check out the Least Common Multiple of 44772 and 44790