What is the Greatest Common Factor of 67317 and 67332?

Greatest common factor (GCF) of 67317 and 67332 is 3.

GCF(67317,67332) = 3

We will now calculate the prime factors of 67317 and 67332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67317 and 67332.

How to find the GCF of 67317 and 67332?

We will first find the prime factorization of 67317 and 67332. After we will calculate the factors of 67317 and 67332 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 67332

Prime factors of 67332 are 2, 3, 31, 181. Prime factorization of 67332 in exponential form is:

67332 = 2² × 3¹ × 31¹ × 181¹

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 67332

List of positive integer factors of 67332 that divides 67317 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 181, 186, 362, 372, 543, 724, 1086, 2172, 5611, 11222, 16833, 22444, 33666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67317 and 67332. The biggest common factor number is the GCF number.
So the greatest common factor 67317 and 67332 is 3.

Also check out the Least Common Multiple of 67317 and 67332