Greatest Common Factor of 1784 and 1792

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 1784, 1792 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1784 and 1792 is 8.

GCF(1784,1792) = 8

GCF of 1784 and 1792

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

GCF of:
and

Greatest Common Factor of 1784 and 1792

GCF of 1784 and 1792 is 8

Prime Factorization of 1784


2 1784
2 892
2 446
223 223
1

Prime factors of 1784 are 2,223. Prime factorization of 1784 in exponential form is:

1784 = 23×2231

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

∴ So by taking common prime factors GCF of 1784 and 1792 is 8

Greatest Common Factor of 1784 and 1792 by matching factors method

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

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

Greatest Common Factor

We found the factors and prime factorization of 1784 and 1792. The biggest common factor number is the GCF number.
So the greatest common factor 1784 and 1792 is 8.

Also check out the Least Common Multiple of 1784 and 1792

Properties of GCF 1784 and 1792

(i) The GCF of 1784 and 1792 is associative

GCF of 1784 and 1792 = GCF of 1792 and 1784

Related Greatest Common Factor of 1784

Related Greatest Common Factor of 1792

Frequently Asked Questions on GCF of 1784 and 1792

1. What is the GCF of 1784 and 1792?

Answer: GCF of 1784 and 1792 is 8.

2. What are the Factors of 1784?

Answer: Factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784. There are 8 integers that are factors of 1784. The greatest factor of 1784 is 1784.

3. 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.

4. How to Find the GCF of 1784 and 1792?

Answer:

Greatest Common Factor of 1784 and 1792 = 8

Step 1: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1784 and 1792 is 8