What is the Greatest Common Factor of 1380 and 1398?

Greatest common factor (GCF) of 1380 and 1398 is 6.

GCF(1380,1398) = 6

We will now calculate the prime factors of 1380 and 1398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1380 and 1398.

How to find the GCF of 1380 and 1398?

We will first find the prime factorization of 1380 and 1398. After we will calculate the factors of 1380 and 1398 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 1398

Prime factors of 1398 are 2, 3, 233. Prime factorization of 1398 in exponential form is:

1398 = 2¹ × 3¹ × 233¹

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 1398

List of positive integer factors of 1398 that divides 1380 without a remainder.

1, 2, 3, 6, 233, 466, 699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1380 and 1398. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1398 is 6.

Also check out the Least Common Multiple of 1380 and 1398