What is the Greatest Common Factor of 67239 and 67257?

Greatest common factor (GCF) of 67239 and 67257 is 9.

GCF(67239,67257) = 9

We will now calculate the prime factors of 67239 and 67257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67239 and 67257.

How to find the GCF of 67239 and 67257?

We will first find the prime factorization of 67239 and 67257. After we will calculate the factors of 67239 and 67257 and find the biggest common factor number .

Step-1: Prime Factorization of 67239

Prime factors of 67239 are 3, 31, 241. Prime factorization of 67239 in exponential form is:

67239 = 3² × 31¹ × 241¹

Step-2: Prime Factorization of 67257

Prime factors of 67257 are 3, 47, 53. Prime factorization of 67257 in exponential form is:

67257 = 3³ × 47¹ × 53¹

Step-3: Factors of 67239

List of positive integer factors of 67239 that divides 67239 without a remainder.

1, 3, 9, 31, 93, 241, 279, 723, 2169, 7471, 22413

Step-4: Factors of 67257

List of positive integer factors of 67257 that divides 67239 without a remainder.

1, 3, 9, 27, 47, 53, 141, 159, 423, 477, 1269, 1431, 2491, 7473, 22419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67239 and 67257. The biggest common factor number is the GCF number.
So the greatest common factor 67239 and 67257 is 9.

Also check out the Least Common Multiple of 67239 and 67257