Greatest Common Factor of 1396 and 1404

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 1396, 1404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1396 and 1404 is 4.

GCF(1396,1404) = 4

GCF of 1396 and 1404

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

GCF of:
and

Greatest Common Factor of 1396 and 1404

GCF of 1396 and 1404 is 4

Prime Factorization of 1396


2 1396
2 698
349 349
1

Prime factors of 1396 are 2,349. Prime factorization of 1396 in exponential form is:

1396 = 22×3491

Prime Factorization of 1404


2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 1404 are 2,3,13. Prime factorization of 1404 in exponential form is:

1404 = 22×33×131

∴ So by taking common prime factors GCF of 1396 and 1404 is 4

Greatest Common Factor of 1396 and 1404 by matching factors method

Factors of 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1,2,4,349,698,1396

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404

Greatest Common Factor

We found the factors and prime factorization of 1396 and 1404. The biggest common factor number is the GCF number.
So the greatest common factor 1396 and 1404 is 4.

Also check out the Least Common Multiple of 1396 and 1404

Properties of GCF 1396 and 1404

(i) The GCF of 1396 and 1404 is associative

GCF of 1396 and 1404 = GCF of 1404 and 1396

Related Greatest Common Factor of 1396

Related Greatest Common Factor of 1404

Frequently Asked Questions on GCF of 1396 and 1404

1. What is the GCF of 1396 and 1404?

Answer: GCF of 1396 and 1404 is 4.

2. What are the Factors of 1396?

Answer: Factors of 1396 are 1, 2, 4, 349, 698, 1396. There are 6 integers that are factors of 1396. The greatest factor of 1396 is 1396.

3. What are the Factors of 1404?

Answer: Factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404. There are 24 integers that are factors of 1404. The greatest factor of 1404 is 1404.

4. How to Find the GCF of 1396 and 1404?

Answer:

Greatest Common Factor of 1396 and 1404 = 4

Step 1: Find the prime factorization of 1396

1396 = 2 x 2 x 349

Step 2: Find the prime factorization of 1404

1404 = 2 x 2 x 3 x 3 x 3 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1396 and 1404 is 4