What is the Greatest Common Factor of 44475 and 44489?

Greatest common factor (GCF) of 44475 and 44489 is 1.

GCF(44475,44489) = 1

We will now calculate the prime factors of 44475 and 44489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44475 and 44489.

How to find the GCF of 44475 and 44489?

We will first find the prime factorization of 44475 and 44489. After we will calculate the factors of 44475 and 44489 and find the biggest common factor number .

Step-1: Prime Factorization of 44475

Prime factors of 44475 are 3, 5, 593. Prime factorization of 44475 in exponential form is:

44475 = 3¹ × 5² × 593¹

Step-2: Prime Factorization of 44489

Prime factors of 44489 are 17, 2617. Prime factorization of 44489 in exponential form is:

44489 = 17¹ × 2617¹

Step-3: Factors of 44475

List of positive integer factors of 44475 that divides 44475 without a remainder.

1, 3, 5, 15, 25, 75, 593, 1779, 2965, 8895, 14825

Step-4: Factors of 44489

List of positive integer factors of 44489 that divides 44475 without a remainder.

1, 17, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44475 and 44489. The biggest common factor number is the GCF number.
So the greatest common factor 44475 and 44489 is 1.

Also check out the Least Common Multiple of 44475 and 44489