What is the Greatest Common Factor of 67395 and 67404?

Greatest common factor (GCF) of 67395 and 67404 is 3.

GCF(67395,67404) = 3

We will now calculate the prime factors of 67395 and 67404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67395 and 67404.

How to find the GCF of 67395 and 67404?

We will first find the prime factorization of 67395 and 67404. After we will calculate the factors of 67395 and 67404 and find the biggest common factor number .

Step-1: Prime Factorization of 67395

Prime factors of 67395 are 3, 5, 4493. Prime factorization of 67395 in exponential form is:

67395 = 3¹ × 5¹ × 4493¹

Step-2: Prime Factorization of 67404

Prime factors of 67404 are 2, 3, 41, 137. Prime factorization of 67404 in exponential form is:

67404 = 2² × 3¹ × 41¹ × 137¹

Step-3: Factors of 67395

List of positive integer factors of 67395 that divides 67395 without a remainder.

1, 3, 5, 15, 4493, 13479, 22465

Step-4: Factors of 67404

List of positive integer factors of 67404 that divides 67395 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 137, 164, 246, 274, 411, 492, 548, 822, 1644, 5617, 11234, 16851, 22468, 33702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67395 and 67404. The biggest common factor number is the GCF number.
So the greatest common factor 67395 and 67404 is 3.

Also check out the Least Common Multiple of 67395 and 67404