Greatest Common Factor of 1072 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 1072, 1080 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1072 and 1080 is 8.

GCF(1072,1080) = 8

GCF of 1072 and 1080

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

GCF of:
and

Greatest Common Factor of 1072 and 1080

GCF of 1072 and 1080 is 8

Prime Factorization of 1072


2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:

1072 = 24×671

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 1072 and 1080 is 8

Greatest Common Factor of 1072 and 1080 by matching factors method

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1,2,4,8,16,67,134,268,536,1072

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 1072 and 1080. The biggest common factor number is the GCF number.
So the greatest common factor 1072 and 1080 is 8.

Also check out the Least Common Multiple of 1072 and 1080

Properties of GCF 1072 and 1080

(i) The GCF of 1072 and 1080 is associative

GCF of 1072 and 1080 = GCF of 1080 and 1072

Related Greatest Common Factor of 1072

Related Greatest Common Factor of 1080

Frequently Asked Questions on GCF of 1072 and 1080

1. What is the GCF of 1072 and 1080?

Answer: GCF of 1072 and 1080 is 8.

2. What are the Factors of 1072?

Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.

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 1072 and 1080?

Answer:

Greatest Common Factor of 1072 and 1080 = 8

Step 1: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1072 and 1080 is 8