Greatest Common Factor of 1792 and 1797

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, 1797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1792 and 1797 is 1.

GCF(1792,1797) = 1

GCF of 1792 and 1797

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

GCF of:
and

Greatest Common Factor of 1792 and 1797

GCF of 1792 and 1797 is 1

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 1797


3 1797
599 599
1

Prime factors of 1797 are 3,599. Prime factorization of 1797 in exponential form is:

1797 = 31×5991

∴ So by taking common prime factors GCF of 1792 and 1797 is 1

Greatest Common Factor of 1792 and 1797 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 1797

List of positive integer factors of 1797 that divides 1797 without a remainder.

1,3,599,1797

Greatest Common Factor

We found the factors and prime factorization of 1792 and 1797. The biggest common factor number is the GCF number.
So the greatest common factor 1792 and 1797 is 1.

Also check out the Least Common Multiple of 1792 and 1797

Properties of GCF 1792 and 1797

(i) The GCF of 1792 and 1797 is associative

GCF of 1792 and 1797 = GCF of 1797 and 1792

Related Greatest Common Factor of 1792

Related Greatest Common Factor of 1797

Frequently Asked Questions on GCF of 1792 and 1797

1. What is the GCF of 1792 and 1797?

Answer: GCF of 1792 and 1797 is 1.

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 1797?

Answer: Factors of 1797 are 1, 3, 599, 1797. There are 4 integers that are factors of 1797. The greatest factor of 1797 is 1797.

4. How to Find the GCF of 1792 and 1797?

Answer:

Greatest Common Factor of 1792 and 1797 = 1

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 1797

1797 = 3 x 599

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1792 and 1797 is 1