What is the Greatest Common Factor of 39240 and 39249?

Greatest common factor (GCF) of 39240 and 39249 is 9.

GCF(39240,39249) = 9

We will now calculate the prime factors of 39240 and 39249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39240 and 39249.

How to find the GCF of 39240 and 39249?

We will first find the prime factorization of 39240 and 39249. After we will calculate the factors of 39240 and 39249 and find the biggest common factor number .

Step-1: Prime Factorization of 39240

Prime factors of 39240 are 2, 3, 5, 109. Prime factorization of 39240 in exponential form is:

39240 = 2³ × 3² × 5¹ × 109¹

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 39240

List of positive integer factors of 39240 that divides 39240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 109, 120, 180, 218, 327, 360, 436, 545, 654, 872, 981, 1090, 1308, 1635, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 6540, 7848, 9810, 13080, 19620

Step-4: Factors of 39249

List of positive integer factors of 39249 that divides 39240 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 39240 and 39249. The biggest common factor number is the GCF number.
So the greatest common factor 39240 and 39249 is 9.

Also check out the Least Common Multiple of 39240 and 39249