What is the Greatest Common Factor of 67302 and 67309?

Greatest common factor (GCF) of 67302 and 67309 is 1.

GCF(67302,67309) = 1

We will now calculate the prime factors of 67302 and 67309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67302 and 67309.

How to find the GCF of 67302 and 67309?

We will first find the prime factorization of 67302 and 67309. After we will calculate the factors of 67302 and 67309 and find the biggest common factor number .

Step-1: Prime Factorization of 67302

Prime factors of 67302 are 2, 3, 3739. Prime factorization of 67302 in exponential form is:

67302 = 2¹ × 3² × 3739¹

Step-2: Prime Factorization of 67309

Prime factors of 67309 are 11, 29, 211. Prime factorization of 67309 in exponential form is:

67309 = 11¹ × 29¹ × 211¹

Step-3: Factors of 67302

List of positive integer factors of 67302 that divides 67302 without a remainder.

1, 2, 3, 6, 9, 18, 3739, 7478, 11217, 22434, 33651

Step-4: Factors of 67309

List of positive integer factors of 67309 that divides 67302 without a remainder.

1, 11, 29, 211, 319, 2321, 6119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67302 and 67309. The biggest common factor number is the GCF number.
So the greatest common factor 67302 and 67309 is 1.

Also check out the Least Common Multiple of 67302 and 67309