What is the Greatest Common Factor of 46125 and 46140?

Greatest common factor (GCF) of 46125 and 46140 is 15.

GCF(46125,46140) = 15

We will now calculate the prime factors of 46125 and 46140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46125 and 46140.

How to find the GCF of 46125 and 46140?

We will first find the prime factorization of 46125 and 46140. After we will calculate the factors of 46125 and 46140 and find the biggest common factor number .

Step-1: Prime Factorization of 46125

Prime factors of 46125 are 3, 5, 41. Prime factorization of 46125 in exponential form is:

46125 = 3² × 5³ × 41¹

Step-2: Prime Factorization of 46140

Prime factors of 46140 are 2, 3, 5, 769. Prime factorization of 46140 in exponential form is:

46140 = 2² × 3¹ × 5¹ × 769¹

Step-3: Factors of 46125

List of positive integer factors of 46125 that divides 46125 without a remainder.

1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 125, 205, 225, 369, 375, 615, 1025, 1125, 1845, 3075, 5125, 9225, 15375

Step-4: Factors of 46140

List of positive integer factors of 46140 that divides 46125 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 769, 1538, 2307, 3076, 3845, 4614, 7690, 9228, 11535, 15380, 23070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46125 and 46140. The biggest common factor number is the GCF number.
So the greatest common factor 46125 and 46140 is 15.

Also check out the Least Common Multiple of 46125 and 46140