What is the Greatest Common Factor of 67209 and 67218?

Greatest common factor (GCF) of 67209 and 67218 is 3.

GCF(67209,67218) = 3

We will now calculate the prime factors of 67209 and 67218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67209 and 67218.

How to find the GCF of 67209 and 67218?

We will first find the prime factorization of 67209 and 67218. After we will calculate the factors of 67209 and 67218 and find the biggest common factor number .

Step-1: Prime Factorization of 67209

Prime factors of 67209 are 3, 43, 521. Prime factorization of 67209 in exponential form is:

67209 = 3¹ × 43¹ × 521¹

Step-2: 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-3: Factors of 67209

List of positive integer factors of 67209 that divides 67209 without a remainder.

1, 3, 43, 129, 521, 1563, 22403

Step-4: Factors of 67218

List of positive integer factors of 67218 that divides 67209 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67209 and 67218. The biggest common factor number is the GCF number.
So the greatest common factor 67209 and 67218 is 3.

Also check out the Least Common Multiple of 67209 and 67218