Greatest Common Factor of 1382 and 1387

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 1382, 1387 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1382 and 1387 is 1.

GCF(1382,1387) = 1

GCF of 1382 and 1387

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

GCF of:
and

Greatest Common Factor of 1382 and 1387

GCF of 1382 and 1387 is 1

Prime Factorization of 1382


2 1382
691 691
1

Prime factors of 1382 are 2,691. Prime factorization of 1382 in exponential form is:

1382 = 21×6911

Prime Factorization of 1387


19 1387
73 73
1

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

1387 = 191×731

∴ So by taking common prime factors GCF of 1382 and 1387 is 1

Greatest Common Factor of 1382 and 1387 by matching factors method

Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1,2,691,1382

Factors of 1387

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

1,19,73,1387

Greatest Common Factor

We found the factors and prime factorization of 1382 and 1387. The biggest common factor number is the GCF number.
So the greatest common factor 1382 and 1387 is 1.

Also check out the Least Common Multiple of 1382 and 1387

Properties of GCF 1382 and 1387

(i) The GCF of 1382 and 1387 is associative

GCF of 1382 and 1387 = GCF of 1387 and 1382

Related Greatest Common Factor of 1382

Related Greatest Common Factor of 1387

Frequently Asked Questions on GCF of 1382 and 1387

1. What is the GCF of 1382 and 1387?

Answer: GCF of 1382 and 1387 is 1.

2. What are the Factors of 1382?

Answer: Factors of 1382 are 1, 2, 691, 1382. There are 4 integers that are factors of 1382. The greatest factor of 1382 is 1382.

3. What are the Factors of 1387?

Answer: Factors of 1387 are 1, 19, 73, 1387. There are 4 integers that are factors of 1387. The greatest factor of 1387 is 1387.

4. How to Find the GCF of 1382 and 1387?

Answer:

Greatest Common Factor of 1382 and 1387 = 1

Step 1: Find the prime factorization of 1382

1382 = 2 x 691

Step 2: Find the prime factorization of 1387

1387 = 19 x 73

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 1382 and 1387 is 1