Greatest Common Factor of 795 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 795, 803 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 795 and 803 is 1.

GCF(795,803) = 1

GCF of 795 and 803

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

GCF of:
and

Greatest Common Factor of 795 and 803

GCF of 795 and 803 is 1

Prime Factorization of 795


3 795
5 265
53 53
1

Prime factors of 795 are 3,5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

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 795 and 803 is 1

Greatest Common Factor of 795 and 803 by matching factors method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

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 795 and 803. The biggest common factor number is the GCF number.
So the greatest common factor 795 and 803 is 1.

Also check out the Least Common Multiple of 795 and 803

Properties of GCF 795 and 803

(i) The GCF of 795 and 803 is associative

GCF of 795 and 803 = GCF of 803 and 795

Frequently Asked Questions on GCF of 795 and 803

1. What is the GCF of 795 and 803?

Answer: GCF of 795 and 803 is 1.

2. What are the Factors of 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

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 795 and 803?

Answer:

Greatest Common Factor of 795 and 803 = 1

Step 1: Find the prime factorization of 795

795 = 3 x 5 x 53

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 795 and 803 is 1