Greatest Common Factor of 1075 and 1080

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 1075, 1080 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1075 and 1080 is 5.

GCF(1075,1080) = 5

GCF of 1075 and 1080

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

GCF of:
and

Greatest Common Factor of 1075 and 1080

GCF of 1075 and 1080 is 5

Prime Factorization of 1075


5 1075
5 215
43 43
1

Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:

1075 = 52×431

Prime Factorization of 1080


2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 1080 are 2,3,5. Prime factorization of 1080 in exponential form is:

1080 = 23×33×51

∴ So by taking common prime factors GCF of 1075 and 1080 is 5

Greatest Common Factor of 1075 and 1080 by matching factors method

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Factors of 1080

List of positive integer factors of 1080 that divides 1080 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080

Greatest Common Factor

We found the factors and prime factorization of 1075 and 1080. The biggest common factor number is the GCF number.
So the greatest common factor 1075 and 1080 is 5.

Also check out the Least Common Multiple of 1075 and 1080

Properties of GCF 1075 and 1080

(i) The GCF of 1075 and 1080 is associative

GCF of 1075 and 1080 = GCF of 1080 and 1075

Related Greatest Common Factor of 1075

Related Greatest Common Factor of 1080

Frequently Asked Questions on GCF of 1075 and 1080

1. What is the GCF of 1075 and 1080?

Answer: GCF of 1075 and 1080 is 5.

2. What are the Factors of 1075?

Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.

3. What are the Factors of 1080?

Answer: Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. There are 32 integers that are factors of 1080. The greatest factor of 1080 is 1080.

4. How to Find the GCF of 1075 and 1080?

Answer:

Greatest Common Factor of 1075 and 1080 = 5

Step 1: Find the prime factorization of 1075

1075 = 5 x 5 x 43

Step 2: Find the prime factorization of 1080

1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5

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 1075 and 1080 is 5