What is the Greatest Common Factor of 1380 and 1387?

Greatest common factor (GCF) of 1380 and 1387 is 1.

GCF(1380,1387) = 1

We will now calculate the prime factors of 1380 and 1387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1380 and 1387.

How to find the GCF of 1380 and 1387?

We will first find the prime factorization of 1380 and 1387. After we will calculate the factors of 1380 and 1387 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 1387

Prime factors of 1387 are 19, 73. Prime factorization of 1387 in exponential form is:

1387 = 19¹ × 73¹

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 1387

List of positive integer factors of 1387 that divides 1380 without a remainder.

1, 19, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1380 and 1387. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1387 is 1.

Also check out the Least Common Multiple of 1380 and 1387