What is the Greatest Common Factor of 39849 and 39857?

Greatest common factor (GCF) of 39849 and 39857 is 1.

GCF(39849,39857) = 1

We will now calculate the prime factors of 39849 and 39857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39849 and 39857.

How to find the GCF of 39849 and 39857?

We will first find the prime factorization of 39849 and 39857. After we will calculate the factors of 39849 and 39857 and find the biggest common factor number .

Step-1: Prime Factorization of 39849

Prime factors of 39849 are 3, 37, 359. Prime factorization of 39849 in exponential form is:

39849 = 3¹ × 37¹ × 359¹

Step-2: Prime Factorization of 39857

Prime factors of 39857 are 39857. Prime factorization of 39857 in exponential form is:

39857 = 39857¹

Step-3: Factors of 39849

List of positive integer factors of 39849 that divides 39849 without a remainder.

1, 3, 37, 111, 359, 1077, 13283

Step-4: Factors of 39857

List of positive integer factors of 39857 that divides 39849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39849 and 39857. The biggest common factor number is the GCF number.
So the greatest common factor 39849 and 39857 is 1.

Also check out the Least Common Multiple of 39849 and 39857