What is the Greatest Common Factor of 67317 and 67335?

Greatest common factor (GCF) of 67317 and 67335 is 3.

GCF(67317,67335) = 3

We will now calculate the prime factors of 67317 and 67335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67317 and 67335.

How to find the GCF of 67317 and 67335?

We will first find the prime factorization of 67317 and 67335. After we will calculate the factors of 67317 and 67335 and find the biggest common factor number .

Step-1: Prime Factorization of 67317

Prime factors of 67317 are 3, 19, 1181. Prime factorization of 67317 in exponential form is:

67317 = 3¹ × 19¹ × 1181¹

Step-2: Prime Factorization of 67335

Prime factors of 67335 are 3, 5, 67. Prime factorization of 67335 in exponential form is:

67335 = 3¹ × 5¹ × 67²

Step-3: Factors of 67317

List of positive integer factors of 67317 that divides 67317 without a remainder.

1, 3, 19, 57, 1181, 3543, 22439

Step-4: Factors of 67335

List of positive integer factors of 67335 that divides 67317 without a remainder.

1, 3, 5, 15, 67, 201, 335, 1005, 4489, 13467, 22445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67317 and 67335. The biggest common factor number is the GCF number.
So the greatest common factor 67317 and 67335 is 3.

Also check out the Least Common Multiple of 67317 and 67335