What is the Greatest Common Factor of 45904 and 45923?

Greatest common factor (GCF) of 45904 and 45923 is 19.

GCF(45904,45923) = 19

We will now calculate the prime factors of 45904 and 45923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45904 and 45923.

How to find the GCF of 45904 and 45923?

We will first find the prime factorization of 45904 and 45923. After we will calculate the factors of 45904 and 45923 and find the biggest common factor number .

Step-1: Prime Factorization of 45904

Prime factors of 45904 are 2, 19, 151. Prime factorization of 45904 in exponential form is:

45904 = 2⁴ × 19¹ × 151¹

Step-2: Prime Factorization of 45923

Prime factors of 45923 are 19, 2417. Prime factorization of 45923 in exponential form is:

45923 = 19¹ × 2417¹

Step-3: Factors of 45904

List of positive integer factors of 45904 that divides 45904 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 151, 152, 302, 304, 604, 1208, 2416, 2869, 5738, 11476, 22952

Step-4: Factors of 45923

List of positive integer factors of 45923 that divides 45904 without a remainder.

1, 19, 2417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45904 and 45923. The biggest common factor number is the GCF number.
So the greatest common factor 45904 and 45923 is 19.

Also check out the Least Common Multiple of 45904 and 45923