What is the Greatest Common Factor of 45795 and 45810?

Greatest common factor (GCF) of 45795 and 45810 is 15.

GCF(45795,45810) = 15

We will now calculate the prime factors of 45795 and 45810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45795 and 45810.

How to find the GCF of 45795 and 45810?

We will first find the prime factorization of 45795 and 45810. After we will calculate the factors of 45795 and 45810 and find the biggest common factor number .

Step-1: Prime Factorization of 45795

Prime factors of 45795 are 3, 5, 43, 71. Prime factorization of 45795 in exponential form is:

45795 = 3¹ × 5¹ × 43¹ × 71¹

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 45795

List of positive integer factors of 45795 that divides 45795 without a remainder.

1, 3, 5, 15, 43, 71, 129, 213, 215, 355, 645, 1065, 3053, 9159, 15265

Step-4: Factors of 45810

List of positive integer factors of 45810 that divides 45795 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 45795 and 45810. The biggest common factor number is the GCF number.
So the greatest common factor 45795 and 45810 is 15.

Also check out the Least Common Multiple of 45795 and 45810