What is the Greatest Common Factor of 45790 and 45809?

Greatest common factor (GCF) of 45790 and 45809 is 19.

GCF(45790,45809) = 19

We will now calculate the prime factors of 45790 and 45809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45790 and 45809.

How to find the GCF of 45790 and 45809?

We will first find the prime factorization of 45790 and 45809. After we will calculate the factors of 45790 and 45809 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 45809

Prime factors of 45809 are 19, 2411. Prime factorization of 45809 in exponential form is:

45809 = 19¹ × 2411¹

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 45809

List of positive integer factors of 45809 that divides 45790 without a remainder.

1, 19, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45790 and 45809. The biggest common factor number is the GCF number.
So the greatest common factor 45790 and 45809 is 19.

Also check out the Least Common Multiple of 45790 and 45809