What is the Greatest Common Factor of 46075 and 46089?

Greatest common factor (GCF) of 46075 and 46089 is 1.

GCF(46075,46089) = 1

We will now calculate the prime factors of 46075 and 46089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46075 and 46089.

How to find the GCF of 46075 and 46089?

We will first find the prime factorization of 46075 and 46089. After we will calculate the factors of 46075 and 46089 and find the biggest common factor number .

Step-1: Prime Factorization of 46075

Prime factors of 46075 are 5, 19, 97. Prime factorization of 46075 in exponential form is:

46075 = 5² × 19¹ × 97¹

Step-2: Prime Factorization of 46089

Prime factors of 46089 are 3, 569. Prime factorization of 46089 in exponential form is:

46089 = 3⁴ × 569¹

Step-3: Factors of 46075

List of positive integer factors of 46075 that divides 46075 without a remainder.

1, 5, 19, 25, 95, 97, 475, 485, 1843, 2425, 9215

Step-4: Factors of 46089

List of positive integer factors of 46089 that divides 46075 without a remainder.

1, 3, 9, 27, 81, 569, 1707, 5121, 15363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46075 and 46089. The biggest common factor number is the GCF number.
So the greatest common factor 46075 and 46089 is 1.

Also check out the Least Common Multiple of 46075 and 46089