Greatest Common Factor of 8075 and 8083

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 8075, 8083 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8075 and 8083 is 1.

GCF(8075,8083) = 1

GCF of 8075 and 8083

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

GCF of:
and

Greatest Common Factor of 8075 and 8083

GCF of 8075 and 8083 is 1

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

Prime Factorization of 8083


59 8083
137 137
1

Prime factors of 8083 are 59,137. Prime factorization of 8083 in exponential form is:

8083 = 591×1371

∴ So by taking common prime factors GCF of 8075 and 8083 is 1

Greatest Common Factor of 8075 and 8083 by matching factors method

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

Factors of 8083

List of positive integer factors of 8083 that divides 8083 without a remainder.

1,59,137,8083

Greatest Common Factor

We found the factors and prime factorization of 8075 and 8083. The biggest common factor number is the GCF number.
So the greatest common factor 8075 and 8083 is 1.

Also check out the Least Common Multiple of 8075 and 8083

Properties of GCF 8075 and 8083

(i) The GCF of 8075 and 8083 is associative

GCF of 8075 and 8083 = GCF of 8083 and 8075

Related Greatest Common Factor of 8075

Related Greatest Common Factor of 8083

Frequently Asked Questions on GCF of 8075 and 8083

1. What is the GCF of 8075 and 8083?

Answer: GCF of 8075 and 8083 is 1.

2. 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.

3. What are the Factors of 8083?

Answer: Factors of 8083 are 1, 59, 137, 8083. There are 4 integers that are factors of 8083. The greatest factor of 8083 is 8083.

4. How to Find the GCF of 8075 and 8083?

Answer:

Greatest Common Factor of 8075 and 8083 = 1

Step 1: Find the prime factorization of 8075

8075 = 5 x 5 x 17 x 19

Step 2: Find the prime factorization of 8083

8083 = 59 x 137

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 8075 and 8083 is 1