Greatest Common Factor of 794 and 797

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 794, 797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 794 and 797 is 1.

GCF(794,797) = 1

GCF of 794 and 797

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

GCF of:
and

Greatest Common Factor of 794 and 797

GCF of 794 and 797 is 1

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

Prime Factorization of 797


797 797
1

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 7971

∴ So by taking common prime factors GCF of 794 and 797 is 1

Greatest Common Factor of 794 and 797 by matching factors method

Factors of 794

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

1,2,397,794

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors and prime factorization of 794 and 797. The biggest common factor number is the GCF number.
So the greatest common factor 794 and 797 is 1.

Also check out the Least Common Multiple of 794 and 797

Properties of GCF 794 and 797

(i) The GCF of 794 and 797 is associative

GCF of 794 and 797 = GCF of 797 and 794

Frequently Asked Questions on GCF of 794 and 797

1. What is the GCF of 794 and 797?

Answer: GCF of 794 and 797 is 1.

2. 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.

3. What are the Factors of 797?

Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.

4. How to Find the GCF of 794 and 797?

Answer:

Greatest Common Factor of 794 and 797 = 1

Step 1: Find the prime factorization of 794

794 = 2 x 397

Step 2: Find the prime factorization of 797

797 = 797

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 794 and 797 is 1