What is the Greatest Common Factor of 1380 and 1395?

Greatest common factor (GCF) of 1380 and 1395 is 15.

GCF(1380,1395) = 15

We will now calculate the prime factors of 1380 and 1395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1380 and 1395.

How to find the GCF of 1380 and 1395?

We will first find the prime factorization of 1380 and 1395. After we will calculate the factors of 1380 and 1395 and find the biggest common factor number .

Step-1: Prime Factorization of 1380

Prime factors of 1380 are 2, 3, 5, 23. Prime factorization of 1380 in exponential form is:

1380 = 2² × 3¹ × 5¹ × 23¹

Step-2: 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-3: Factors of 1380

List of positive integer factors of 1380 that divides 1380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690

Step-4: Factors of 1395

List of positive integer factors of 1395 that divides 1380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1380 and 1395. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1395 is 15.

Also check out the Least Common Multiple of 1380 and 1395