Greatest Common Factor of 1390 and 1398

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, 1398 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1390 and 1398 is 2.

GCF(1390,1398) = 2

GCF of 1390 and 1398

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

GCF of:
and

Greatest Common Factor of 1390 and 1398

GCF of 1390 and 1398 is 2

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 1398


2 1398
3 699
233 233
1

Prime factors of 1398 are 2,3,233. Prime factorization of 1398 in exponential form is:

1398 = 21×31×2331

∴ So by taking common prime factors GCF of 1390 and 1398 is 2

Greatest Common Factor of 1390 and 1398 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 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1,2,3,6,233,466,699,1398

Greatest Common Factor

We found the factors and prime factorization of 1390 and 1398. The biggest common factor number is the GCF number.
So the greatest common factor 1390 and 1398 is 2.

Also check out the Least Common Multiple of 1390 and 1398

Properties of GCF 1390 and 1398

(i) The GCF of 1390 and 1398 is associative

GCF of 1390 and 1398 = GCF of 1398 and 1390

Related Greatest Common Factor of 1390

Related Greatest Common Factor of 1398

Frequently Asked Questions on GCF of 1390 and 1398

1. What is the GCF of 1390 and 1398?

Answer: GCF of 1390 and 1398 is 2.

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 1398?

Answer: Factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398. There are 8 integers that are factors of 1398. The greatest factor of 1398 is 1398.

4. How to Find the GCF of 1390 and 1398?

Answer:

Greatest Common Factor of 1390 and 1398 = 2

Step 1: Find the prime factorization of 1390

1390 = 2 x 5 x 139

Step 2: Find the prime factorization of 1398

1398 = 2 x 3 x 233

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 1390 and 1398 is 2