What is the Greatest Common Factor of 67239 and 67254?

Greatest common factor (GCF) of 67239 and 67254 is 3.

GCF(67239,67254) = 3

We will now calculate the prime factors of 67239 and 67254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67239 and 67254.

How to find the GCF of 67239 and 67254?

We will first find the prime factorization of 67239 and 67254. After we will calculate the factors of 67239 and 67254 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 67254

Prime factors of 67254 are 2, 3, 11, 1019. Prime factorization of 67254 in exponential form is:

67254 = 2¹ × 3¹ × 11¹ × 1019¹

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 67254

List of positive integer factors of 67254 that divides 67239 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1019, 2038, 3057, 6114, 11209, 22418, 33627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67239 and 67254. The biggest common factor number is the GCF number.
So the greatest common factor 67239 and 67254 is 3.

Also check out the Least Common Multiple of 67239 and 67254