Greatest Common Factor of 8380 and 8387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8380, 8387 i.e. 1 largest integer by which both the numbers can be divided.

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

GCF(8380,8387) = 1

GCF of 8380 and 8387

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8380 and 8387

GCF of 8380 and 8387 is 1

Prime Factorization of 8380


2 8380
2 4190
5 2095
419 419
1

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

8380 = 22×51×4191

Prime Factorization of 8387


8387 8387
1

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

8387 = 83871

∴ So by taking common prime factors GCF of 8380 and 8387 is 1

Greatest Common Factor of 8380 and 8387 by matching factors method

Factors of 8380

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

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Factors of 8387

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

1,8387

Greatest Common Factor

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

Properties of GCF 8380 and 8387

(i) The GCF of 8380 and 8387 is associative

GCF of 8380 and 8387 = GCF of 8387 and 8380

Related Greatest Common Factor of 8380

Related Greatest Common Factor of 8387

Frequently Asked Questions on GCF of 8380 and 8387

1. What is the GCF of 8380 and 8387?

Answer: GCF of 8380 and 8387 is 1.

2. What are the Factors of 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

3. What are the Factors of 8387?

Answer: Factors of 8387 are 1, 8387. There are 2 integers that are factors of 8387. The greatest factor of 8387 is 8387.

4. How to Find the GCF of 8380 and 8387?

Answer:

Greatest Common Factor of 8380 and 8387 = 1

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 8387

8387 = 8387

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 8380 and 8387 is 1