What is the Greatest Common Factor of 44774 and 44790?

Greatest common factor (GCF) of 44774 and 44790 is 2.

GCF(44774,44790) = 2

We will now calculate the prime factors of 44774 and 44790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44774 and 44790.

How to find the GCF of 44774 and 44790?

We will first find the prime factorization of 44774 and 44790. After we will calculate the factors of 44774 and 44790 and find the biggest common factor number .

Step-1: Prime Factorization of 44774

Prime factors of 44774 are 2, 61, 367. Prime factorization of 44774 in exponential form is:

44774 = 2¹ × 61¹ × 367¹

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 44774

List of positive integer factors of 44774 that divides 44774 without a remainder.

1, 2, 61, 122, 367, 734, 22387

Step-4: Factors of 44790

List of positive integer factors of 44790 that divides 44774 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 44774 and 44790. The biggest common factor number is the GCF number.
So the greatest common factor 44774 and 44790 is 2.

Also check out the Least Common Multiple of 44774 and 44790