Greatest Common Factor of 797 and 803

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 797, 803 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 797 and 803 is 1.

GCF(797,803) = 1

GCF of 797 and 803

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

GCF of:
and

Greatest Common Factor of 797 and 803

GCF of 797 and 803 is 1

Prime Factorization of 797


797 797
1

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

797 = 7971

Prime Factorization of 803


11 803
73 73
1

Prime factors of 803 are 11.Prime factorization of 803 in exponential form is:

803 = 111×731

∴ So by taking common prime factors GCF of 797 and 803 is 1

Greatest Common Factor of 797 and 803 by matching factors method

Factors of 797

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

1,797

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors and prime factorization of 797 and 803. The biggest common factor number is the GCF number.
So the greatest common factor 797 and 803 is 1.

Also check out the Least Common Multiple of 797 and 803

Properties of GCF 797 and 803

(i) The GCF of 797 and 803 is associative

GCF of 797 and 803 = GCF of 803 and 797

Related Greatest Common Factor of 797

Related Greatest Common Factor of 803

Frequently Asked Questions on GCF of 797 and 803

1. What is the GCF of 797 and 803?

Answer: GCF of 797 and 803 is 1.

2. 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.

3. What are the Factors of 803?

Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.

4. How to Find the GCF of 797 and 803?

Answer:

Greatest Common Factor of 797 and 803 = 1

Step 1: Find the prime factorization of 797

797 = 797

Step 2: Find the prime factorization of 803

803 = 11 x 73

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 797 and 803 is 1