What is the Greatest Common Factor of 45810 and 45825?

Greatest common factor (GCF) of 45810 and 45825 is 15.

GCF(45810,45825) = 15

We will now calculate the prime factors of 45810 and 45825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45810 and 45825.

How to find the GCF of 45810 and 45825?

We will first find the prime factorization of 45810 and 45825. After we will calculate the factors of 45810 and 45825 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 45825

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

45825 = 3¹ × 5² × 13¹ × 47¹

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 45825

List of positive integer factors of 45825 that divides 45810 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45810 and 45825. The biggest common factor number is the GCF number.
So the greatest common factor 45810 and 45825 is 15.

Also check out the Least Common Multiple of 45810 and 45825