What is the Greatest Common Factor of 67218 and 67233?

Greatest common factor (GCF) of 67218 and 67233 is 3.

GCF(67218,67233) = 3

We will now calculate the prime factors of 67218 and 67233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67218 and 67233.

How to find the GCF of 67218 and 67233?

We will first find the prime factorization of 67218 and 67233. After we will calculate the factors of 67218 and 67233 and find the biggest common factor number .

Step-1: Prime Factorization of 67218

Prime factors of 67218 are 2, 3, 17, 659. Prime factorization of 67218 in exponential form is:

67218 = 2¹ × 3¹ × 17¹ × 659¹

Step-2: Prime Factorization of 67233

Prime factors of 67233 are 3, 73, 307. Prime factorization of 67233 in exponential form is:

67233 = 3¹ × 73¹ × 307¹

Step-3: Factors of 67218

List of positive integer factors of 67218 that divides 67218 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 659, 1318, 1977, 3954, 11203, 22406, 33609

Step-4: Factors of 67233

List of positive integer factors of 67233 that divides 67218 without a remainder.

1, 3, 73, 219, 307, 921, 22411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67218 and 67233. The biggest common factor number is the GCF number.
So the greatest common factor 67218 and 67233 is 3.

Also check out the Least Common Multiple of 67218 and 67233