Greatest Common Factor of 790 and 794

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 790, 794 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 790 and 794 is 2.

GCF(790,794) = 2

GCF of 790 and 794

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

GCF of:
and

Greatest Common Factor of 790 and 794

GCF of 790 and 794 is 2

Prime Factorization of 790


2 790
5 395
79 79
1

Prime factors of 790 are 2,5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

Prime Factorization of 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

∴ So by taking common prime factors GCF of 790 and 794 is 2

Greatest Common Factor of 790 and 794 by matching factors method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors and prime factorization of 790 and 794. The biggest common factor number is the GCF number.
So the greatest common factor 790 and 794 is 2.

Also check out the Least Common Multiple of 790 and 794

Properties of GCF 790 and 794

(i) The GCF of 790 and 794 is associative

GCF of 790 and 794 = GCF of 794 and 790

Related Greatest Common Factor of 790

Related Greatest Common Factor of 794

Frequently Asked Questions on GCF of 790 and 794

1. What is the GCF of 790 and 794?

Answer: GCF of 790 and 794 is 2.

2. What are the Factors of 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

3. What are the Factors of 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

4. How to Find the GCF of 790 and 794?

Answer:

Greatest Common Factor of 790 and 794 = 2

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

Step 2: Find the prime factorization of 794

794 = 2 x 397

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 790 and 794 is 2