What is the Greatest Common Factor of 45849 and 45867?

Greatest common factor (GCF) of 45849 and 45867 is 3.

GCF(45849,45867) = 3

We will now calculate the prime factors of 45849 and 45867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45849 and 45867.

How to find the GCF of 45849 and 45867?

We will first find the prime factorization of 45849 and 45867. After we will calculate the factors of 45849 and 45867 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45867

Prime factors of 45867 are 3, 15289. Prime factorization of 45867 in exponential form is:

45867 = 3¹ × 15289¹

Step-3: Factors of 45849

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

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

Step-4: Factors of 45867

List of positive integer factors of 45867 that divides 45849 without a remainder.

1, 3, 15289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45849 and 45867. The biggest common factor number is the GCF number.
So the greatest common factor 45849 and 45867 is 3.

Also check out the Least Common Multiple of 45849 and 45867