Greatest Common Factor of 784 and 789

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 784, 789 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 784 and 789 is 1.

GCF(784,789) = 1

GCF of 784 and 789

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

GCF of:
and

Greatest Common Factor of 784 and 789

GCF of 784 and 789 is 1

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

Prime Factorization of 789


3 789
263 263
1

Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:

789 = 31×2631

∴ So by taking common prime factors GCF of 784 and 789 is 1

Greatest Common Factor of 784 and 789 by matching factors method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors and prime factorization of 784 and 789. The biggest common factor number is the GCF number.
So the greatest common factor 784 and 789 is 1.

Also check out the Least Common Multiple of 784 and 789

Properties of GCF 784 and 789

(i) The GCF of 784 and 789 is associative

GCF of 784 and 789 = GCF of 789 and 784

Related Greatest Common Factor of 784

Related Greatest Common Factor of 789

Frequently Asked Questions on GCF of 784 and 789

1. What is the GCF of 784 and 789?

Answer: GCF of 784 and 789 is 1.

2. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

3. What are the Factors of 789?

Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.

4. How to Find the GCF of 784 and 789?

Answer:

Greatest Common Factor of 784 and 789 = 1

Step 1: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 789

789 = 3 x 263

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 784 and 789 is 1