What is the Greatest Common Factor of 45790 and 45805?

Greatest common factor (GCF) of 45790 and 45805 is 5.

GCF(45790,45805) = 5

We will now calculate the prime factors of 45790 and 45805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45790 and 45805.

How to find the GCF of 45790 and 45805?

We will first find the prime factorization of 45790 and 45805. After we will calculate the factors of 45790 and 45805 and find the biggest common factor number .

Step-1: Prime Factorization of 45790

Prime factors of 45790 are 2, 5, 19, 241. Prime factorization of 45790 in exponential form is:

45790 = 2¹ × 5¹ × 19¹ × 241¹

Step-2: Prime Factorization of 45805

Prime factors of 45805 are 5, 9161. Prime factorization of 45805 in exponential form is:

45805 = 5¹ × 9161¹

Step-3: Factors of 45790

List of positive integer factors of 45790 that divides 45790 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 241, 482, 1205, 2410, 4579, 9158, 22895

Step-4: Factors of 45805

List of positive integer factors of 45805 that divides 45790 without a remainder.

1, 5, 9161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45790 and 45805. The biggest common factor number is the GCF number.
So the greatest common factor 45790 and 45805 is 5.

Also check out the Least Common Multiple of 45790 and 45805