Greatest Common Factor of 784 and 791

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, 791 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 784 and 791 is 7.

GCF(784,791) = 7

GCF of 784 and 791

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

GCF of:
and

Greatest Common Factor of 784 and 791

GCF of 784 and 791 is 7

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 791


7 791
113 113
1

Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:

791 = 71×1131

∴ So by taking common prime factors GCF of 784 and 791 is 7

Greatest Common Factor of 784 and 791 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 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors and prime factorization of 784 and 791. The biggest common factor number is the GCF number.
So the greatest common factor 784 and 791 is 7.

Also check out the Least Common Multiple of 784 and 791

Properties of GCF 784 and 791

(i) The GCF of 784 and 791 is associative

GCF of 784 and 791 = GCF of 791 and 784

Related Greatest Common Factor of 784

Related Greatest Common Factor of 791

Frequently Asked Questions on GCF of 784 and 791

1. What is the GCF of 784 and 791?

Answer: GCF of 784 and 791 is 7.

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 791?

Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.

4. How to Find the GCF of 784 and 791?

Answer:

Greatest Common Factor of 784 and 791 = 7

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 791

791 = 7 x 113

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

GCF = 7

Step 4: Therefore, the greatest common factor of 784 and 791 is 7