Greatest Common Factor of 8073 and 8075

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 8073, 8075 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8073 and 8075 is 1.

GCF(8073,8075) = 1

GCF of 8073 and 8075

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

GCF of:
and

Greatest Common Factor of 8073 and 8075

GCF of 8073 and 8075 is 1

Prime Factorization of 8073


3 8073
3 2691
3 897
13 299
23 23
1

Prime factors of 8073 are 3,13,23. Prime factorization of 8073 in exponential form is:

8073 = 33×131×231

Prime Factorization of 8075


5 8075
5 1615
17 323
19 19
1

Prime factors of 8075 are 5,17,19. Prime factorization of 8075 in exponential form is:

8075 = 52×171×191

∴ So by taking common prime factors GCF of 8073 and 8075 is 1

Greatest Common Factor of 8073 and 8075 by matching factors method

Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073

Factors of 8075

List of positive integer factors of 8075 that divides 8075 without a remainder.

1,5,17,19,25,85,95,323,425,475,1615,8075

Greatest Common Factor

We found the factors and prime factorization of 8073 and 8075. The biggest common factor number is the GCF number.
So the greatest common factor 8073 and 8075 is 1.

Also check out the Least Common Multiple of 8073 and 8075

Properties of GCF 8073 and 8075

(i) The GCF of 8073 and 8075 is associative

GCF of 8073 and 8075 = GCF of 8075 and 8073

Related Greatest Common Factor of 8073

Related Greatest Common Factor of 8075

Frequently Asked Questions on GCF of 8073 and 8075

1. What is the GCF of 8073 and 8075?

Answer: GCF of 8073 and 8075 is 1.

2. What are the Factors of 8073?

Answer: Factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073. There are 16 integers that are factors of 8073. The greatest factor of 8073 is 8073.

3. What are the Factors of 8075?

Answer: Factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075. There are 12 integers that are factors of 8075. The greatest factor of 8075 is 8075.

4. How to Find the GCF of 8073 and 8075?

Answer:

Greatest Common Factor of 8073 and 8075 = 1

Step 1: Find the prime factorization of 8073

8073 = 3 x 3 x 3 x 13 x 23

Step 2: Find the prime factorization of 8075

8075 = 5 x 5 x 17 x 19

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 8073 and 8075 is 1