What is the Greatest Common Factor of 39849 and 39867?

Greatest common factor (GCF) of 39849 and 39867 is 3.

GCF(39849,39867) = 3

We will now calculate the prime factors of 39849 and 39867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39849 and 39867.

How to find the GCF of 39849 and 39867?

We will first find the prime factorization of 39849 and 39867. After we will calculate the factors of 39849 and 39867 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 39867

Prime factors of 39867 are 3, 97, 137. Prime factorization of 39867 in exponential form is:

39867 = 3¹ × 97¹ × 137¹

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 39867

List of positive integer factors of 39867 that divides 39849 without a remainder.

1, 3, 97, 137, 291, 411, 13289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39849 and 39867. The biggest common factor number is the GCF number.
So the greatest common factor 39849 and 39867 is 3.

Also check out the Least Common Multiple of 39849 and 39867