What is the Greatest Common Factor of 45889 and 45901?

Greatest common factor (GCF) of 45889 and 45901 is 1.

GCF(45889,45901) = 1

We will now calculate the prime factors of 45889 and 45901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45889 and 45901.

How to find the GCF of 45889 and 45901?

We will first find the prime factorization of 45889 and 45901. After we will calculate the factors of 45889 and 45901 and find the biggest common factor number .

Step-1: Prime Factorization of 45889

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

45889 = 109¹ × 421¹

Step-2: Prime Factorization of 45901

Prime factors of 45901 are 197, 233. Prime factorization of 45901 in exponential form is:

45901 = 197¹ × 233¹

Step-3: Factors of 45889

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

1, 109, 421

Step-4: Factors of 45901

List of positive integer factors of 45901 that divides 45889 without a remainder.

1, 197, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45889 and 45901. The biggest common factor number is the GCF number.
So the greatest common factor 45889 and 45901 is 1.

Also check out the Least Common Multiple of 45889 and 45901