What is the Greatest Common Factor of 45825 and 45830?

Greatest common factor (GCF) of 45825 and 45830 is 5.

GCF(45825,45830) = 5

We will now calculate the prime factors of 45825 and 45830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45825 and 45830.

How to find the GCF of 45825 and 45830?

We will first find the prime factorization of 45825 and 45830. After we will calculate the factors of 45825 and 45830 and find the biggest common factor number .

Step-1: Prime Factorization of 45825

Prime factors of 45825 are 3, 5, 13, 47. Prime factorization of 45825 in exponential form is:

45825 = 3¹ × 5² × 13¹ × 47¹

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 45825

List of positive integer factors of 45825 that divides 45825 without a remainder.

1, 3, 5, 13, 15, 25, 39, 47, 65, 75, 141, 195, 235, 325, 611, 705, 975, 1175, 1833, 3055, 3525, 9165, 15275

Step-4: Factors of 45830

List of positive integer factors of 45830 that divides 45825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45825 and 45830. The biggest common factor number is the GCF number.
So the greatest common factor 45825 and 45830 is 5.

Also check out the Least Common Multiple of 45825 and 45830