What is the Greatest Common Factor of 45790 and 45810?

Greatest common factor (GCF) of 45790 and 45810 is 10.

GCF(45790,45810) = 10

We will now calculate the prime factors of 45790 and 45810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45790 and 45810.

How to find the GCF of 45790 and 45810?

We will first find the prime factorization of 45790 and 45810. After we will calculate the factors of 45790 and 45810 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 45810

Prime factors of 45810 are 2, 3, 5, 509. Prime factorization of 45810 in exponential form is:

45810 = 2¹ × 3² × 5¹ × 509¹

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 45810

List of positive integer factors of 45810 that divides 45790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 509, 1018, 1527, 2545, 3054, 4581, 5090, 7635, 9162, 15270, 22905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45790 and 45810. The biggest common factor number is the GCF number.
So the greatest common factor 45790 and 45810 is 10.

Also check out the Least Common Multiple of 45790 and 45810