What is the Greatest Common Factor of 45855 and 45875?

Greatest common factor (GCF) of 45855 and 45875 is 5.

GCF(45855,45875) = 5

We will now calculate the prime factors of 45855 and 45875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45855 and 45875.

How to find the GCF of 45855 and 45875?

We will first find the prime factorization of 45855 and 45875. After we will calculate the factors of 45855 and 45875 and find the biggest common factor number .

Step-1: Prime Factorization of 45855

Prime factors of 45855 are 3, 5, 1019. Prime factorization of 45855 in exponential form is:

45855 = 3² × 5¹ × 1019¹

Step-2: Prime Factorization of 45875

Prime factors of 45875 are 5, 367. Prime factorization of 45875 in exponential form is:

45875 = 5³ × 367¹

Step-3: Factors of 45855

List of positive integer factors of 45855 that divides 45855 without a remainder.

1, 3, 5, 9, 15, 45, 1019, 3057, 5095, 9171, 15285

Step-4: Factors of 45875

List of positive integer factors of 45875 that divides 45855 without a remainder.

1, 5, 25, 125, 367, 1835, 9175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45855 and 45875. The biggest common factor number is the GCF number.
So the greatest common factor 45855 and 45875 is 5.

Also check out the Least Common Multiple of 45855 and 45875