What is the Greatest Common Factor of 1395 and 1404?

Greatest common factor (GCF) of 1395 and 1404 is 9.

GCF(1395,1404) = 9

We will now calculate the prime factors of 1395 and 1404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1395 and 1404.

How to find the GCF of 1395 and 1404?

We will first find the prime factorization of 1395 and 1404. After we will calculate the factors of 1395 and 1404 and find the biggest common factor number .

Step-1: Prime Factorization of 1395

Prime factors of 1395 are 3, 5, 31. Prime factorization of 1395 in exponential form is:

1395 = 3² × 5¹ × 31¹

Step-2: Prime Factorization of 1404

Prime factors of 1404 are 2, 3, 13. Prime factorization of 1404 in exponential form is:

1404 = 2² × 3³ × 13¹

Step-3: Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465

Step-4: Factors of 1404

List of positive integer factors of 1404 that divides 1395 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1395 and 1404. The biggest common factor number is the GCF number.
So the greatest common factor 1395 and 1404 is 9.

Also check out the Least Common Multiple of 1395 and 1404