What is the Greatest Common Factor of 45889 and 45906?

Greatest common factor (GCF) of 45889 and 45906 is 1.

GCF(45889,45906) = 1

We will now calculate the prime factors of 45889 and 45906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45889 and 45906.

How to find the GCF of 45889 and 45906?

We will first find the prime factorization of 45889 and 45906. After we will calculate the factors of 45889 and 45906 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 45906

Prime factors of 45906 are 2, 3, 7, 1093. Prime factorization of 45906 in exponential form is:

45906 = 2¹ × 3¹ × 7¹ × 1093¹

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 45906

List of positive integer factors of 45906 that divides 45889 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1093, 2186, 3279, 6558, 7651, 15302, 22953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45889 and 45906. The biggest common factor number is the GCF number.
So the greatest common factor 45889 and 45906 is 1.

Also check out the Least Common Multiple of 45889 and 45906