What is the Greatest Common Factor of 46110 and 46125?

Greatest common factor (GCF) of 46110 and 46125 is 15.

GCF(46110,46125) = 15

We will now calculate the prime factors of 46110 and 46125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46110 and 46125.

How to find the GCF of 46110 and 46125?

We will first find the prime factorization of 46110 and 46125. After we will calculate the factors of 46110 and 46125 and find the biggest common factor number .

Step-1: Prime Factorization of 46110

Prime factors of 46110 are 2, 3, 5, 29, 53. Prime factorization of 46110 in exponential form is:

46110 = 2¹ × 3¹ × 5¹ × 29¹ × 53¹

Step-2: 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-3: Factors of 46110

List of positive integer factors of 46110 that divides 46110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 53, 58, 87, 106, 145, 159, 174, 265, 290, 318, 435, 530, 795, 870, 1537, 1590, 3074, 4611, 7685, 9222, 15370, 23055

Step-4: Factors of 46125

List of positive integer factors of 46125 that divides 46110 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46110 and 46125. The biggest common factor number is the GCF number.
So the greatest common factor 46110 and 46125 is 15.

Also check out the Least Common Multiple of 46110 and 46125