What is the Greatest Common Factor of 45804 and 45823?

Greatest common factor (GCF) of 45804 and 45823 is 1.

GCF(45804,45823) = 1

We will now calculate the prime factors of 45804 and 45823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45804 and 45823.

How to find the GCF of 45804 and 45823?

We will first find the prime factorization of 45804 and 45823. After we will calculate the factors of 45804 and 45823 and find the biggest common factor number .

Step-1: Prime Factorization of 45804

Prime factors of 45804 are 2, 3, 11, 347. Prime factorization of 45804 in exponential form is:

45804 = 2² × 3¹ × 11¹ × 347¹

Step-2: Prime Factorization of 45823

Prime factors of 45823 are 45823. Prime factorization of 45823 in exponential form is:

45823 = 45823¹

Step-3: Factors of 45804

List of positive integer factors of 45804 that divides 45804 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 347, 694, 1041, 1388, 2082, 3817, 4164, 7634, 11451, 15268, 22902

Step-4: Factors of 45823

List of positive integer factors of 45823 that divides 45804 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45804 and 45823. The biggest common factor number is the GCF number.
So the greatest common factor 45804 and 45823 is 1.

Also check out the Least Common Multiple of 45804 and 45823