Greatest Common Factor of 6075 and 6080

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 6075, 6080 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6075 and 6080 is 5.

GCF(6075,6080) = 5

GCF of 6075 and 6080

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

GCF of:
and

Greatest Common Factor of 6075 and 6080

GCF of 6075 and 6080 is 5

Prime Factorization of 6075


3 6075
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 6075 are 3,5. Prime factorization of 6075 in exponential form is:

6075 = 35×52

Prime Factorization of 6080


2 6080
2 3040
2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 6080 are 2,5,19. Prime factorization of 6080 in exponential form is:

6080 = 26×51×191

∴ So by taking common prime factors GCF of 6075 and 6080 is 5

Greatest Common Factor of 6075 and 6080 by matching factors method

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075

Factors of 6080

List of positive integer factors of 6080 that divides 6080 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080

Greatest Common Factor

We found the factors and prime factorization of 6075 and 6080. The biggest common factor number is the GCF number.
So the greatest common factor 6075 and 6080 is 5.

Also check out the Least Common Multiple of 6075 and 6080

Properties of GCF 6075 and 6080

(i) The GCF of 6075 and 6080 is associative

GCF of 6075 and 6080 = GCF of 6080 and 6075

Related Greatest Common Factor of 6075

Related Greatest Common Factor of 6080

Frequently Asked Questions on GCF of 6075 and 6080

1. What is the GCF of 6075 and 6080?

Answer: GCF of 6075 and 6080 is 5.

2. What are the Factors of 6075?

Answer: Factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075. There are 18 integers that are factors of 6075. The greatest factor of 6075 is 6075.

3. What are the Factors of 6080?

Answer: Factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080. There are 28 integers that are factors of 6080. The greatest factor of 6080 is 6080.

4. How to Find the GCF of 6075 and 6080?

Answer:

Greatest Common Factor of 6075 and 6080 = 5

Step 1: Find the prime factorization of 6075

6075 = 3 x 3 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 6080

6080 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19

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 6075 and 6080 is 5