What is the Greatest Common Factor of 45804 and 45815?

Greatest common factor (GCF) of 45804 and 45815 is 11.

GCF(45804,45815) = 11

We will now calculate the prime factors of 45804 and 45815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45804 and 45815.

How to find the GCF of 45804 and 45815?

We will first find the prime factorization of 45804 and 45815. After we will calculate the factors of 45804 and 45815 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 45815

Prime factors of 45815 are 5, 7, 11, 17. Prime factorization of 45815 in exponential form is:

45815 = 5¹ × 7² × 11¹ × 17¹

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 45815

List of positive integer factors of 45815 that divides 45804 without a remainder.

1, 5, 7, 11, 17, 35, 49, 55, 77, 85, 119, 187, 245, 385, 539, 595, 833, 935, 1309, 2695, 4165, 6545, 9163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45804 and 45815. The biggest common factor number is the GCF number.
So the greatest common factor 45804 and 45815 is 11.

Also check out the Least Common Multiple of 45804 and 45815