What is the Greatest Common Factor of 8380 and 8387?

Greatest common factor (GCF) of 8380 and 8387 is 1.

GCF(8380,8387) = 1

We will now calculate the prime factors of 8380 and 8387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8380 and 8387.

How to find the GCF of 8380 and 8387?

We will first find the prime factorization of 8380 and 8387. After we will calculate the factors of 8380 and 8387 and find the biggest common factor number .

Step-1: Prime Factorization of 8380

Prime factors of 8380 are 2, 5, 419. Prime factorization of 8380 in exponential form is:

8380 = 2² × 5¹ × 419¹

Step-2: Prime Factorization of 8387

Prime factors of 8387 are 8387. Prime factorization of 8387 in exponential form is:

8387 = 8387¹

Step-3: Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190

Step-4: Factors of 8387

List of positive integer factors of 8387 that divides 8380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8380 and 8387. The biggest common factor number is the GCF number.
So the greatest common factor 8380 and 8387 is 1.

Also check out the Least Common Multiple of 8380 and 8387