Greatest Common Factor of 8075 and 8080

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, 8080 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8075 and 8080 is 5.

GCF(8075,8080) = 5

GCF of 8075 and 8080

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

GCF of:
and

Greatest Common Factor of 8075 and 8080

GCF of 8075 and 8080 is 5

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 8080


2 8080
2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 8080 are 2,5,101. Prime factorization of 8080 in exponential form is:

8080 = 24×51×1011

∴ So by taking common prime factors GCF of 8075 and 8080 is 5

Greatest Common Factor of 8075 and 8080 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 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

Greatest Common Factor

We found the factors and prime factorization of 8075 and 8080. The biggest common factor number is the GCF number.
So the greatest common factor 8075 and 8080 is 5.

Also check out the Least Common Multiple of 8075 and 8080

Properties of GCF 8075 and 8080

(i) The GCF of 8075 and 8080 is associative

GCF of 8075 and 8080 = GCF of 8080 and 8075

Related Greatest Common Factor of 8075

Related Greatest Common Factor of 8080

Frequently Asked Questions on GCF of 8075 and 8080

1. What is the GCF of 8075 and 8080?

Answer: GCF of 8075 and 8080 is 5.

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 8080?

Answer: Factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080. There are 20 integers that are factors of 8080. The greatest factor of 8080 is 8080.

4. How to Find the GCF of 8075 and 8080?

Answer:

Greatest Common Factor of 8075 and 8080 = 5

Step 1: Find the prime factorization of 8075

8075 = 5 x 5 x 17 x 19

Step 2: Find the prime factorization of 8080

8080 = 2 x 2 x 2 x 2 x 5 x 101

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8075 and 8080 is 5