What is the Greatest Common Factor of 45832 and 45849?

Greatest common factor (GCF) of 45832 and 45849 is 17.

GCF(45832,45849) = 17

We will now calculate the prime factors of 45832 and 45849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45832 and 45849.

How to find the GCF of 45832 and 45849?

We will first find the prime factorization of 45832 and 45849. After we will calculate the factors of 45832 and 45849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45849

Prime factors of 45849 are 3, 17, 29, 31. Prime factorization of 45849 in exponential form is:

45849 = 3¹ × 17¹ × 29¹ × 31¹

Step-3: Factors of 45832

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

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

Step-4: Factors of 45849

List of positive integer factors of 45849 that divides 45832 without a remainder.

1, 3, 17, 29, 31, 51, 87, 93, 493, 527, 899, 1479, 1581, 2697, 15283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45832 and 45849. The biggest common factor number is the GCF number.
So the greatest common factor 45832 and 45849 is 17.

Also check out the Least Common Multiple of 45832 and 45849