What is the Greatest Common Factor of 1380 and 1397?

Greatest common factor (GCF) of 1380 and 1397 is 1.

GCF(1380,1397) = 1

We will now calculate the prime factors of 1380 and 1397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1380 and 1397.

How to find the GCF of 1380 and 1397?

We will first find the prime factorization of 1380 and 1397. After we will calculate the factors of 1380 and 1397 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 1397

Prime factors of 1397 are 11, 127. Prime factorization of 1397 in exponential form is:

1397 = 11¹ × 127¹

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 1397

List of positive integer factors of 1397 that divides 1380 without a remainder.

1, 11, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1380 and 1397. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1397 is 1.

Also check out the Least Common Multiple of 1380 and 1397