What is the Greatest Common Factor of 45875 and 45889?

Greatest common factor (GCF) of 45875 and 45889 is 1.

GCF(45875,45889) = 1

We will now calculate the prime factors of 45875 and 45889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45875 and 45889.

How to find the GCF of 45875 and 45889?

We will first find the prime factorization of 45875 and 45889. After we will calculate the factors of 45875 and 45889 and find the biggest common factor number .

Step-1: Prime Factorization of 45875

Prime factors of 45875 are 5, 367. Prime factorization of 45875 in exponential form is:

45875 = 5³ × 367¹

Step-2: Prime Factorization of 45889

Prime factors of 45889 are 109, 421. Prime factorization of 45889 in exponential form is:

45889 = 109¹ × 421¹

Step-3: Factors of 45875

List of positive integer factors of 45875 that divides 45875 without a remainder.

1, 5, 25, 125, 367, 1835, 9175

Step-4: Factors of 45889

List of positive integer factors of 45889 that divides 45875 without a remainder.

1, 109, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45875 and 45889. The biggest common factor number is the GCF number.
So the greatest common factor 45875 and 45889 is 1.

Also check out the Least Common Multiple of 45875 and 45889