Greatest Common Factor of 798 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 798, 803 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 798 and 803 is 1.

GCF(798,803) = 1

GCF of 798 and 803

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

GCF of:
and

Greatest Common Factor of 798 and 803

GCF of 798 and 803 is 1

Prime Factorization of 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2,3,7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

Prime Factorization of 803


11 803
73 73
1

Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:

803 = 111×731

∴ So by taking common prime factors GCF of 798 and 803 is 1

Greatest Common Factor of 798 and 803 by matching factors method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

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 798 and 803. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 803 is 1.

Also check out the Least Common Multiple of 798 and 803

Properties of GCF 798 and 803

(i) The GCF of 798 and 803 is associative

GCF of 798 and 803 = GCF of 803 and 798

Related Greatest Common Factor of 798

Related Greatest Common Factor of 803

Frequently Asked Questions on GCF of 798 and 803

1. What is the GCF of 798 and 803?

Answer: GCF of 798 and 803 is 1.

2. What are the Factors of 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

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 798 and 803?

Answer:

Greatest Common Factor of 798 and 803 = 1

Step 1: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

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 798 and 803 is 1