What is the Greatest Common Factor of 1380 and 1389?

Greatest common factor (GCF) of 1380 and 1389 is 3.

GCF(1380,1389) = 3

We will now calculate the prime factors of 1380 and 1389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1380 and 1389.

How to find the GCF of 1380 and 1389?

We will first find the prime factorization of 1380 and 1389. After we will calculate the factors of 1380 and 1389 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 1389

Prime factors of 1389 are 3, 463. Prime factorization of 1389 in exponential form is:

1389 = 3¹ × 463¹

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 1389

List of positive integer factors of 1389 that divides 1380 without a remainder.

1, 3, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1380 and 1389. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1389 is 3.

Also check out the Least Common Multiple of 1380 and 1389