What is the Greatest Common Factor of 67266 and 67281?

Greatest common factor (GCF) of 67266 and 67281 is 3.

GCF(67266,67281) = 3

We will now calculate the prime factors of 67266 and 67281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67266 and 67281.

How to find the GCF of 67266 and 67281?

We will first find the prime factorization of 67266 and 67281. After we will calculate the factors of 67266 and 67281 and find the biggest common factor number .

Step-1: Prime Factorization of 67266

Prime factors of 67266 are 2, 3, 37, 101. Prime factorization of 67266 in exponential form is:

67266 = 2¹ × 3² × 37¹ × 101¹

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 67266

List of positive integer factors of 67266 that divides 67266 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 101, 111, 202, 222, 303, 333, 606, 666, 909, 1818, 3737, 7474, 11211, 22422, 33633

Step-4: Factors of 67281

List of positive integer factors of 67281 that divides 67266 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67266 and 67281. The biggest common factor number is the GCF number.
So the greatest common factor 67266 and 67281 is 3.

Also check out the Least Common Multiple of 67266 and 67281