Greatest Common Factor of 1396 and 1400

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, 1400 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1396 and 1400 is 4.

GCF(1396,1400) = 4

GCF of 1396 and 1400

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

GCF of:
and

Greatest Common Factor of 1396 and 1400

GCF of 1396 and 1400 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 1400


2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 1400 are 2,5,7. Prime factorization of 1400 in exponential form is:

1400 = 23×52×71

∴ So by taking common prime factors GCF of 1396 and 1400 is 4

Greatest Common Factor of 1396 and 1400 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 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Greatest Common Factor

We found the factors and prime factorization of 1396 and 1400. The biggest common factor number is the GCF number.
So the greatest common factor 1396 and 1400 is 4.

Also check out the Least Common Multiple of 1396 and 1400

Properties of GCF 1396 and 1400

(i) The GCF of 1396 and 1400 is associative

GCF of 1396 and 1400 = GCF of 1400 and 1396

Related Greatest Common Factor of 1396

Related Greatest Common Factor of 1400

Frequently Asked Questions on GCF of 1396 and 1400

1. What is the GCF of 1396 and 1400?

Answer: GCF of 1396 and 1400 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 1400?

Answer: Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400. There are 24 integers that are factors of 1400. The greatest factor of 1400 is 1400.

4. How to Find the GCF of 1396 and 1400?

Answer:

Greatest Common Factor of 1396 and 1400 = 4

Step 1: Find the prime factorization of 1396

1396 = 2 x 2 x 349

Step 2: Find the prime factorization of 1400

1400 = 2 x 2 x 2 x 5 x 5 x 7

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 1400 is 4