What is the Greatest Common Factor of 39243 and 39249?

Greatest common factor (GCF) of 39243 and 39249 is 3.

GCF(39243,39249) = 3

We will now calculate the prime factors of 39243 and 39249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39243 and 39249.

How to find the GCF of 39243 and 39249?

We will first find the prime factorization of 39243 and 39249. After we will calculate the factors of 39243 and 39249 and find the biggest common factor number .

Step-1: Prime Factorization of 39243

Prime factors of 39243 are 3, 103, 127. Prime factorization of 39243 in exponential form is:

39243 = 3¹ × 103¹ × 127¹

Step-2: Prime Factorization of 39249

Prime factors of 39249 are 3, 7, 89. Prime factorization of 39249 in exponential form is:

39249 = 3² × 7² × 89¹

Step-3: Factors of 39243

List of positive integer factors of 39243 that divides 39243 without a remainder.

1, 3, 103, 127, 309, 381, 13081

Step-4: Factors of 39249

List of positive integer factors of 39249 that divides 39243 without a remainder.

1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39243 and 39249. The biggest common factor number is the GCF number.
So the greatest common factor 39243 and 39249 is 3.

Also check out the Least Common Multiple of 39243 and 39249