Greatest Common Factor of 1392 and 1396

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 1392, 1396 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1392 and 1396 is 4.

GCF(1392,1396) = 4

GCF of 1392 and 1396

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

GCF of:
and

Greatest Common Factor of 1392 and 1396

GCF of 1392 and 1396 is 4

Prime Factorization of 1392


2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 1392 are 2,3,29. Prime factorization of 1392 in exponential form is:

1392 = 24×31×291

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

∴ So by taking common prime factors GCF of 1392 and 1396 is 4

Greatest Common Factor of 1392 and 1396 by matching factors method

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Factors of 1396

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

1,2,4,349,698,1396

Greatest Common Factor

We found the factors and prime factorization of 1392 and 1396. The biggest common factor number is the GCF number.
So the greatest common factor 1392 and 1396 is 4.

Also check out the Least Common Multiple of 1392 and 1396

Properties of GCF 1392 and 1396

(i) The GCF of 1392 and 1396 is associative

GCF of 1392 and 1396 = GCF of 1396 and 1392

Related Greatest Common Factor of 1392

Related Greatest Common Factor of 1396

Frequently Asked Questions on GCF of 1392 and 1396

1. What is the GCF of 1392 and 1396?

Answer: GCF of 1392 and 1396 is 4.

2. What are the Factors of 1392?

Answer: Factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392. There are 20 integers that are factors of 1392. The greatest factor of 1392 is 1392.

3. 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.

4. How to Find the GCF of 1392 and 1396?

Answer:

Greatest Common Factor of 1392 and 1396 = 4

Step 1: Find the prime factorization of 1392

1392 = 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 1396

1396 = 2 x 2 x 349

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 1392 and 1396 is 4