What is the Greatest Common Factor of 67269 and 67281?

Greatest common factor (GCF) of 67269 and 67281 is 3.

GCF(67269,67281) = 3

We will now calculate the prime factors of 67269 and 67281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67269 and 67281.

How to find the GCF of 67269 and 67281?

We will first find the prime factorization of 67269 and 67281. After we will calculate the factors of 67269 and 67281 and find the biggest common factor number .

Step-1: Prime Factorization of 67269

Prime factors of 67269 are 3, 17, 1319. Prime factorization of 67269 in exponential form is:

67269 = 3¹ × 17¹ × 1319¹

Step-2: Prime Factorization of 67281

Prime factors of 67281 are 3, 41, 547. Prime factorization of 67281 in exponential form is:

67281 = 3¹ × 41¹ × 547¹

Step-3: Factors of 67269

List of positive integer factors of 67269 that divides 67269 without a remainder.

1, 3, 17, 51, 1319, 3957, 22423

Step-4: Factors of 67281

List of positive integer factors of 67281 that divides 67269 without a remainder.

1, 3, 41, 123, 547, 1641, 22427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67269 and 67281. The biggest common factor number is the GCF number.
So the greatest common factor 67269 and 67281 is 3.

Also check out the Least Common Multiple of 67269 and 67281