Greatest Common Factor of 9080 and 9088

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 9080, 9088 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9080 and 9088 is 8.

GCF(9080,9088) = 8

GCF of 9080 and 9088

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

GCF of:
and

Greatest Common Factor of 9080 and 9088

GCF of 9080 and 9088 is 8

Prime Factorization of 9080


2 9080
2 4540
2 2270
5 1135
227 227
1

Prime factors of 9080 are 2,5,227. Prime factorization of 9080 in exponential form is:

9080 = 23×51×2271

Prime Factorization of 9088


2 9088
2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 9088 are 2,71. Prime factorization of 9088 in exponential form is:

9088 = 27×711

∴ So by taking common prime factors GCF of 9080 and 9088 is 8

Greatest Common Factor of 9080 and 9088 by matching factors method

Factors of 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080

Factors of 9088

List of positive integer factors of 9088 that divides 9088 without a remainder.

1,2,4,8,16,32,64,71,128,142,284,568,1136,2272,4544,9088

Greatest Common Factor

We found the factors and prime factorization of 9080 and 9088. The biggest common factor number is the GCF number.
So the greatest common factor 9080 and 9088 is 8.

Also check out the Least Common Multiple of 9080 and 9088

Properties of GCF 9080 and 9088

(i) The GCF of 9080 and 9088 is associative

GCF of 9080 and 9088 = GCF of 9088 and 9080

Related Greatest Common Factor of 9080

Related Greatest Common Factor of 9088

Frequently Asked Questions on GCF of 9080 and 9088

1. What is the GCF of 9080 and 9088?

Answer: GCF of 9080 and 9088 is 8.

2. What are the Factors of 9080?

Answer: Factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080. There are 16 integers that are factors of 9080. The greatest factor of 9080 is 9080.

3. What are the Factors of 9088?

Answer: Factors of 9088 are 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088. There are 16 integers that are factors of 9088. The greatest factor of 9088 is 9088.

4. How to Find the GCF of 9080 and 9088?

Answer:

Greatest Common Factor of 9080 and 9088 = 8

Step 1: Find the prime factorization of 9080

9080 = 2 x 2 x 2 x 5 x 227

Step 2: Find the prime factorization of 9088

9088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71

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 9080 and 9088 is 8