What is the Greatest Common Factor of 67281 and 67299?

Greatest common factor (GCF) of 67281 and 67299 is 3.

GCF(67281,67299) = 3

We will now calculate the prime factors of 67281 and 67299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67281 and 67299.

How to find the GCF of 67281 and 67299?

We will first find the prime factorization of 67281 and 67299. After we will calculate the factors of 67281 and 67299 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67299

Prime factors of 67299 are 3, 22433. Prime factorization of 67299 in exponential form is:

67299 = 3¹ × 22433¹

Step-3: Factors of 67281

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

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

Step-4: Factors of 67299

List of positive integer factors of 67299 that divides 67281 without a remainder.

1, 3, 22433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67281 and 67299. The biggest common factor number is the GCF number.
So the greatest common factor 67281 and 67299 is 3.

Also check out the Least Common Multiple of 67281 and 67299