What is the Greatest Common Factor of 45849 and 45857?

Greatest common factor (GCF) of 45849 and 45857 is 1.

GCF(45849,45857) = 1

We will now calculate the prime factors of 45849 and 45857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45849 and 45857.

How to find the GCF of 45849 and 45857?

We will first find the prime factorization of 45849 and 45857. After we will calculate the factors of 45849 and 45857 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 45857

Prime factors of 45857 are 7, 6551. Prime factorization of 45857 in exponential form is:

45857 = 7¹ × 6551¹

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 45857

List of positive integer factors of 45857 that divides 45849 without a remainder.

1, 7, 6551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45849 and 45857. The biggest common factor number is the GCF number.
So the greatest common factor 45849 and 45857 is 1.

Also check out the Least Common Multiple of 45849 and 45857