What is the Greatest Common Factor of 44785 and 44798?

Greatest common factor (GCF) of 44785 and 44798 is 13.

GCF(44785,44798) = 13

We will now calculate the prime factors of 44785 and 44798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44785 and 44798.

How to find the GCF of 44785 and 44798?

We will first find the prime factorization of 44785 and 44798. After we will calculate the factors of 44785 and 44798 and find the biggest common factor number .

Step-1: Prime Factorization of 44785

Prime factors of 44785 are 5, 13, 53. Prime factorization of 44785 in exponential form is:

44785 = 5¹ × 13² × 53¹

Step-2: Prime Factorization of 44798

Prime factors of 44798 are 2, 13, 1723. Prime factorization of 44798 in exponential form is:

44798 = 2¹ × 13¹ × 1723¹

Step-3: Factors of 44785

List of positive integer factors of 44785 that divides 44785 without a remainder.

1, 5, 13, 53, 65, 169, 265, 689, 845, 3445, 8957

Step-4: Factors of 44798

List of positive integer factors of 44798 that divides 44785 without a remainder.

1, 2, 13, 26, 1723, 3446, 22399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44785 and 44798. The biggest common factor number is the GCF number.
So the greatest common factor 44785 and 44798 is 13.

Also check out the Least Common Multiple of 44785 and 44798