What is the Greatest Common Factor of 45844 and 45848?

Greatest common factor (GCF) of 45844 and 45848 is 4.

GCF(45844,45848) = 4

We will now calculate the prime factors of 45844 and 45848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45844 and 45848.

How to find the GCF of 45844 and 45848?

We will first find the prime factorization of 45844 and 45848. After we will calculate the factors of 45844 and 45848 and find the biggest common factor number .

Step-1: Prime Factorization of 45844

Prime factors of 45844 are 2, 73, 157. Prime factorization of 45844 in exponential form is:

45844 = 2² × 73¹ × 157¹

Step-2: 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-3: Factors of 45844

List of positive integer factors of 45844 that divides 45844 without a remainder.

1, 2, 4, 73, 146, 157, 292, 314, 628, 11461, 22922

Step-4: Factors of 45848

List of positive integer factors of 45848 that divides 45844 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45844 and 45848. The biggest common factor number is the GCF number.
So the greatest common factor 45844 and 45848 is 4.

Also check out the Least Common Multiple of 45844 and 45848