What is the Greatest Common Factor of 40239 and 40256?

Greatest common factor (GCF) of 40239 and 40256 is 17.

GCF(40239,40256) = 17

We will now calculate the prime factors of 40239 and 40256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40239 and 40256.

How to find the GCF of 40239 and 40256?

We will first find the prime factorization of 40239 and 40256. After we will calculate the factors of 40239 and 40256 and find the biggest common factor number .

Step-1: Prime Factorization of 40239

Prime factors of 40239 are 3, 17, 263. Prime factorization of 40239 in exponential form is:

40239 = 3² × 17¹ × 263¹

Step-2: Prime Factorization of 40256

Prime factors of 40256 are 2, 17, 37. Prime factorization of 40256 in exponential form is:

40256 = 2⁶ × 17¹ × 37¹

Step-3: Factors of 40239

List of positive integer factors of 40239 that divides 40239 without a remainder.

1, 3, 9, 17, 51, 153, 263, 789, 2367, 4471, 13413

Step-4: Factors of 40256

List of positive integer factors of 40256 that divides 40239 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 37, 64, 68, 74, 136, 148, 272, 296, 544, 592, 629, 1088, 1184, 1258, 2368, 2516, 5032, 10064, 20128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40239 and 40256. The biggest common factor number is the GCF number.
So the greatest common factor 40239 and 40256 is 17.

Also check out the Least Common Multiple of 40239 and 40256