What is the Greatest Common Factor of 45848 and 45859?

Greatest common factor (GCF) of 45848 and 45859 is 11.

GCF(45848,45859) = 11

We will now calculate the prime factors of 45848 and 45859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45848 and 45859.

How to find the GCF of 45848 and 45859?

We will first find the prime factorization of 45848 and 45859. After we will calculate the factors of 45848 and 45859 and find the biggest common factor number .

Step-1: Prime Factorization of 45848

Prime factors of 45848 are 2, 11, 521. Prime factorization of 45848 in exponential form is:

45848 = 2³ × 11¹ × 521¹

Step-2: Prime Factorization of 45859

Prime factors of 45859 are 11, 379. Prime factorization of 45859 in exponential form is:

45859 = 11² × 379¹

Step-3: Factors of 45848

List of positive integer factors of 45848 that divides 45848 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 521, 1042, 2084, 4168, 5731, 11462, 22924

Step-4: Factors of 45859

List of positive integer factors of 45859 that divides 45848 without a remainder.

1, 11, 121, 379, 4169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45848 and 45859. The biggest common factor number is the GCF number.
So the greatest common factor 45848 and 45859 is 11.

Also check out the Least Common Multiple of 45848 and 45859