Greatest Common Factor of 1382 and 1390

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, 1390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1382 and 1390 is 2.

GCF(1382,1390) = 2

GCF of 1382 and 1390

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

GCF of:
and

Greatest Common Factor of 1382 and 1390

GCF of 1382 and 1390 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 1390


2 1390
5 695
139 139
1

Prime factors of 1390 are 2,5,139. Prime factorization of 1390 in exponential form is:

1390 = 21×51×1391

∴ So by taking common prime factors GCF of 1382 and 1390 is 2

Greatest Common Factor of 1382 and 1390 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 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1,2,5,10,139,278,695,1390

Greatest Common Factor

We found the factors and prime factorization of 1382 and 1390. The biggest common factor number is the GCF number.
So the greatest common factor 1382 and 1390 is 2.

Also check out the Least Common Multiple of 1382 and 1390

Properties of GCF 1382 and 1390

(i) The GCF of 1382 and 1390 is associative

GCF of 1382 and 1390 = GCF of 1390 and 1382

Related Greatest Common Factor of 1382

Related Greatest Common Factor of 1390

Frequently Asked Questions on GCF of 1382 and 1390

1. What is the GCF of 1382 and 1390?

Answer: GCF of 1382 and 1390 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 1390?

Answer: Factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390. There are 8 integers that are factors of 1390. The greatest factor of 1390 is 1390.

4. How to Find the GCF of 1382 and 1390?

Answer:

Greatest Common Factor of 1382 and 1390 = 2

Step 1: Find the prime factorization of 1382

1382 = 2 x 691

Step 2: Find the prime factorization of 1390

1390 = 2 x 5 x 139

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 1390 is 2