What is the Greatest Common Factor of 45815 and 45832?

Greatest common factor (GCF) of 45815 and 45832 is 17.

GCF(45815,45832) = 17

We will now calculate the prime factors of 45815 and 45832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45815 and 45832.

How to find the GCF of 45815 and 45832?

We will first find the prime factorization of 45815 and 45832. After we will calculate the factors of 45815 and 45832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45832

Prime factors of 45832 are 2, 17, 337. Prime factorization of 45832 in exponential form is:

45832 = 2³ × 17¹ × 337¹

Step-3: Factors of 45815

List of positive integer factors of 45815 that divides 45815 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

Step-4: Factors of 45832

List of positive integer factors of 45832 that divides 45815 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 337, 674, 1348, 2696, 5729, 11458, 22916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45815 and 45832. The biggest common factor number is the GCF number.
So the greatest common factor 45815 and 45832 is 17.

Also check out the Least Common Multiple of 45815 and 45832