What is the Greatest Common Factor of 45798 and 45815?

Greatest common factor (GCF) of 45798 and 45815 is 17.

GCF(45798,45815) = 17

We will now calculate the prime factors of 45798 and 45815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45798 and 45815.

How to find the GCF of 45798 and 45815?

We will first find the prime factorization of 45798 and 45815. After we will calculate the factors of 45798 and 45815 and find the biggest common factor number .

Step-1: Prime Factorization of 45798

Prime factors of 45798 are 2, 3, 17, 449. Prime factorization of 45798 in exponential form is:

45798 = 2¹ × 3¹ × 17¹ × 449¹

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 45798

List of positive integer factors of 45798 that divides 45798 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 449, 898, 1347, 2694, 7633, 15266, 22899

Step-4: Factors of 45815

List of positive integer factors of 45815 that divides 45798 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 45798 and 45815. The biggest common factor number is the GCF number.
So the greatest common factor 45798 and 45815 is 17.

Also check out the Least Common Multiple of 45798 and 45815