Greatest Common Factor of 1390 and 1395

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 1390, 1395 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1390 and 1395 is 5.

GCF(1390,1395) = 5

GCF of 1390 and 1395

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

GCF of:
and

Greatest Common Factor of 1390 and 1395

GCF of 1390 and 1395 is 5

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

Prime Factorization of 1395


3 1395
3 465
5 155
31 31
1

Prime factors of 1395 are 3,5,31. Prime factorization of 1395 in exponential form is:

1395 = 32×51×311

∴ So by taking common prime factors GCF of 1390 and 1395 is 5

Greatest Common Factor of 1390 and 1395 by matching factors method

Factors of 1390

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

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

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1,3,5,9,15,31,45,93,155,279,465,1395

Greatest Common Factor

We found the factors and prime factorization of 1390 and 1395. The biggest common factor number is the GCF number.
So the greatest common factor 1390 and 1395 is 5.

Also check out the Least Common Multiple of 1390 and 1395

Properties of GCF 1390 and 1395

(i) The GCF of 1390 and 1395 is associative

GCF of 1390 and 1395 = GCF of 1395 and 1390

Related Greatest Common Factor of 1390

Related Greatest Common Factor of 1395

Frequently Asked Questions on GCF of 1390 and 1395

1. What is the GCF of 1390 and 1395?

Answer: GCF of 1390 and 1395 is 5.

2. 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.

3. What are the Factors of 1395?

Answer: Factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395. There are 12 integers that are factors of 1395. The greatest factor of 1395 is 1395.

4. How to Find the GCF of 1390 and 1395?

Answer:

Greatest Common Factor of 1390 and 1395 = 5

Step 1: Find the prime factorization of 1390

1390 = 2 x 5 x 139

Step 2: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1390 and 1395 is 5