What is the Greatest Common Factor of 46125 and 46144?

Greatest common factor (GCF) of 46125 and 46144 is 1.

GCF(46125,46144) = 1

We will now calculate the prime factors of 46125 and 46144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46125 and 46144.

How to find the GCF of 46125 and 46144?

We will first find the prime factorization of 46125 and 46144. After we will calculate the factors of 46125 and 46144 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 46144

Prime factors of 46144 are 2, 7, 103. Prime factorization of 46144 in exponential form is:

46144 = 2⁶ × 7¹ × 103¹

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 46144

List of positive integer factors of 46144 that divides 46125 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 103, 112, 206, 224, 412, 448, 721, 824, 1442, 1648, 2884, 3296, 5768, 6592, 11536, 23072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46125 and 46144. The biggest common factor number is the GCF number.
So the greatest common factor 46125 and 46144 is 1.

Also check out the Least Common Multiple of 46125 and 46144