Greatest Common Factor of 807 and 813

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 807, 813 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 807 and 813 is 3.

GCF(807,813) = 3

GCF of 807 and 813

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

GCF of:
and

Greatest Common Factor of 807 and 813

GCF of 807 and 813 is 3

Prime Factorization of 807


3 807
269 269
1

Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:

807 = 31×2691

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

∴ So by taking common prime factors GCF of 807 and 813 is 3

Greatest Common Factor of 807 and 813 by matching factors method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors and prime factorization of 807 and 813. The biggest common factor number is the GCF number.
So the greatest common factor 807 and 813 is 3.

Also check out the Least Common Multiple of 807 and 813

Properties of GCF 807 and 813

(i) The GCF of 807 and 813 is associative

GCF of 807 and 813 = GCF of 813 and 807

Related Greatest Common Factor of 807

Related Greatest Common Factor of 813

Frequently Asked Questions on GCF of 807 and 813

1. What is the GCF of 807 and 813?

Answer: GCF of 807 and 813 is 3.

2. What are the Factors of 807?

Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.

3. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

4. How to Find the GCF of 807 and 813?

Answer:

Greatest Common Factor of 807 and 813 = 3

Step 1: Find the prime factorization of 807

807 = 3 x 269

Step 2: Find the prime factorization of 813

813 = 3 x 271

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 807 and 813 is 3