Greatest Common Factor of 1398 and 1406

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 1398, 1406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1398 and 1406 is 2.

GCF(1398,1406) = 2

GCF of 1398 and 1406

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

GCF of:
and

Greatest Common Factor of 1398 and 1406

GCF of 1398 and 1406 is 2

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

Prime Factorization of 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2,19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

∴ So by taking common prime factors GCF of 1398 and 1406 is 2

Greatest Common Factor of 1398 and 1406 by matching factors method

Factors of 1398

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

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

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1,2,19,37,38,74,703,1406

Greatest Common Factor

We found the factors and prime factorization of 1398 and 1406. The biggest common factor number is the GCF number.
So the greatest common factor 1398 and 1406 is 2.

Also check out the Least Common Multiple of 1398 and 1406

Properties of GCF 1398 and 1406

(i) The GCF of 1398 and 1406 is associative

GCF of 1398 and 1406 = GCF of 1406 and 1398

Related Greatest Common Factor of 1398

Related Greatest Common Factor of 1406

Frequently Asked Questions on GCF of 1398 and 1406

1. What is the GCF of 1398 and 1406?

Answer: GCF of 1398 and 1406 is 2.

2. 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.

3. What are the Factors of 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

4. How to Find the GCF of 1398 and 1406?

Answer:

Greatest Common Factor of 1398 and 1406 = 2

Step 1: Find the prime factorization of 1398

1398 = 2 x 3 x 233

Step 2: Find the prime factorization of 1406

1406 = 2 x 19 x 37

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 1398 and 1406 is 2