Greatest Common Factor of 9112 and 9116

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 9112, 9116 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9112 and 9116 is 4.

GCF(9112,9116) = 4

GCF of 9112 and 9116

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

GCF of:
and

Greatest Common Factor of 9112 and 9116

GCF of 9112 and 9116 is 4

Prime Factorization of 9112


2 9112
2 4556
2 2278
17 1139
67 67
1

Prime factors of 9112 are 2,17,67. Prime factorization of 9112 in exponential form is:

9112 = 23×171×671

Prime Factorization of 9116


2 9116
2 4558
43 2279
53 53
1

Prime factors of 9116 are 2,43,53. Prime factorization of 9116 in exponential form is:

9116 = 22×431×531

∴ So by taking common prime factors GCF of 9112 and 9116 is 4

Greatest Common Factor of 9112 and 9116 by matching factors method

Factors of 9112

List of positive integer factors of 9112 that divides 9112 without a remainder.

1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1,2,4,43,53,86,106,172,212,2279,4558,9116

Greatest Common Factor

We found the factors and prime factorization of 9112 and 9116. The biggest common factor number is the GCF number.
So the greatest common factor 9112 and 9116 is 4.

Also check out the Least Common Multiple of 9112 and 9116

Properties of GCF 9112 and 9116

(i) The GCF of 9112 and 9116 is associative

GCF of 9112 and 9116 = GCF of 9116 and 9112

Related Greatest Common Factor of 9112

Related Greatest Common Factor of 9116

Frequently Asked Questions on GCF of 9112 and 9116

1. What is the GCF of 9112 and 9116?

Answer: GCF of 9112 and 9116 is 4.

2. What are the Factors of 9112?

Answer: Factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112. There are 16 integers that are factors of 9112. The greatest factor of 9112 is 9112.

3. What are the Factors of 9116?

Answer: Factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116. There are 12 integers that are factors of 9116. The greatest factor of 9116 is 9116.

4. How to Find the GCF of 9112 and 9116?

Answer:

Greatest Common Factor of 9112 and 9116 = 4

Step 1: Find the prime factorization of 9112

9112 = 2 x 2 x 2 x 17 x 67

Step 2: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9112 and 9116 is 4