Greatest Common Factor of 1382 and 1388

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, 1388 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1382 and 1388 is 2.

GCF(1382,1388) = 2

GCF of 1382 and 1388

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

GCF of:
and

Greatest Common Factor of 1382 and 1388

GCF of 1382 and 1388 is 2

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 1388


2 1388
2 694
347 347
1

Prime factors of 1388 are 2,347. Prime factorization of 1388 in exponential form is:

1388 = 22×3471

∴ So by taking common prime factors GCF of 1382 and 1388 is 2

Greatest Common Factor of 1382 and 1388 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 1388

List of positive integer factors of 1388 that divides 1388 without a remainder.

1,2,4,347,694,1388

Greatest Common Factor

We found the factors and prime factorization of 1382 and 1388. The biggest common factor number is the GCF number.
So the greatest common factor 1382 and 1388 is 2.

Also check out the Least Common Multiple of 1382 and 1388

Properties of GCF 1382 and 1388

(i) The GCF of 1382 and 1388 is associative

GCF of 1382 and 1388 = GCF of 1388 and 1382

Related Greatest Common Factor of 1382

Related Greatest Common Factor of 1388

Frequently Asked Questions on GCF of 1382 and 1388

1. What is the GCF of 1382 and 1388?

Answer: GCF of 1382 and 1388 is 2.

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 1388?

Answer: Factors of 1388 are 1, 2, 4, 347, 694, 1388. There are 6 integers that are factors of 1388. The greatest factor of 1388 is 1388.

4. How to Find the GCF of 1382 and 1388?

Answer:

Greatest Common Factor of 1382 and 1388 = 2

Step 1: Find the prime factorization of 1382

1382 = 2 x 691

Step 2: Find the prime factorization of 1388

1388 = 2 x 2 x 347

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1382 and 1388 is 2