What is the Greatest Common Factor of 45810 and 45830?

Greatest common factor (GCF) of 45810 and 45830 is 10.

GCF(45810,45830) = 10

We will now calculate the prime factors of 45810 and 45830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45810 and 45830.

How to find the GCF of 45810 and 45830?

We will first find the prime factorization of 45810 and 45830. After we will calculate the factors of 45810 and 45830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45830

Prime factors of 45830 are 2, 5, 4583. Prime factorization of 45830 in exponential form is:

45830 = 2¹ × 5¹ × 4583¹

Step-3: Factors of 45810

List of positive integer factors of 45810 that divides 45810 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

Step-4: Factors of 45830

List of positive integer factors of 45830 that divides 45810 without a remainder.

1, 2, 5, 10, 4583, 9166, 22915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45810 and 45830. The biggest common factor number is the GCF number.
So the greatest common factor 45810 and 45830 is 10.

Also check out the Least Common Multiple of 45810 and 45830