Greatest Common Factor of 1792 and 1798

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 1792, 1798 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1792 and 1798 is 2.

GCF(1792,1798) = 2

GCF of 1792 and 1798

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

GCF of:
and

Greatest Common Factor of 1792 and 1798

GCF of 1792 and 1798 is 2

Prime Factorization of 1792


2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 1792 are 2,7. Prime factorization of 1792 in exponential form is:

1792 = 28×71

Prime Factorization of 1798


2 1798
29 899
31 31
1

Prime factors of 1798 are 2,29,31. Prime factorization of 1798 in exponential form is:

1798 = 21×291×311

∴ So by taking common prime factors GCF of 1792 and 1798 is 2

Greatest Common Factor of 1792 and 1798 by matching factors method

Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792

Factors of 1798

List of positive integer factors of 1798 that divides 1798 without a remainder.

1,2,29,31,58,62,899,1798

Greatest Common Factor

We found the factors and prime factorization of 1792 and 1798. The biggest common factor number is the GCF number.
So the greatest common factor 1792 and 1798 is 2.

Also check out the Least Common Multiple of 1792 and 1798

Properties of GCF 1792 and 1798

(i) The GCF of 1792 and 1798 is associative

GCF of 1792 and 1798 = GCF of 1798 and 1792

Related Greatest Common Factor of 1792

Related Greatest Common Factor of 1798

Frequently Asked Questions on GCF of 1792 and 1798

1. What is the GCF of 1792 and 1798?

Answer: GCF of 1792 and 1798 is 2.

2. What are the Factors of 1792?

Answer: Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. There are 18 integers that are factors of 1792. The greatest factor of 1792 is 1792.

3. What are the Factors of 1798?

Answer: Factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798. There are 8 integers that are factors of 1798. The greatest factor of 1798 is 1798.

4. How to Find the GCF of 1792 and 1798?

Answer:

Greatest Common Factor of 1792 and 1798 = 2

Step 1: Find the prime factorization of 1792

1792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 1798

1798 = 2 x 29 x 31

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 1792 and 1798 is 2