What is the Greatest Common Factor of 67317 and 67336?

Greatest common factor (GCF) of 67317 and 67336 is 19.

GCF(67317,67336) = 19

We will now calculate the prime factors of 67317 and 67336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67317 and 67336.

How to find the GCF of 67317 and 67336?

We will first find the prime factorization of 67317 and 67336. After we will calculate the factors of 67317 and 67336 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 67336

Prime factors of 67336 are 2, 19, 443. Prime factorization of 67336 in exponential form is:

67336 = 2³ × 19¹ × 443¹

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 67336

List of positive integer factors of 67336 that divides 67317 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 443, 886, 1772, 3544, 8417, 16834, 33668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67317 and 67336. The biggest common factor number is the GCF number.
So the greatest common factor 67317 and 67336 is 19.

Also check out the Least Common Multiple of 67317 and 67336