Greatest Common Factor of 9116 and 9124

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 9116, 9124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9116 and 9124 is 4.

GCF(9116,9124) = 4

GCF of 9116 and 9124

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

GCF of:
and

Greatest Common Factor of 9116 and 9124

GCF of 9116 and 9124 is 4

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

Prime Factorization of 9124


2 9124
2 4562
2281 2281
1

Prime factors of 9124 are 2,2281. Prime factorization of 9124 in exponential form is:

9124 = 22×22811

∴ So by taking common prime factors GCF of 9116 and 9124 is 4

Greatest Common Factor of 9116 and 9124 by matching factors method

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

Factors of 9124

List of positive integer factors of 9124 that divides 9124 without a remainder.

1,2,4,2281,4562,9124

Greatest Common Factor

We found the factors and prime factorization of 9116 and 9124. The biggest common factor number is the GCF number.
So the greatest common factor 9116 and 9124 is 4.

Also check out the Least Common Multiple of 9116 and 9124

Properties of GCF 9116 and 9124

(i) The GCF of 9116 and 9124 is associative

GCF of 9116 and 9124 = GCF of 9124 and 9116

Related Greatest Common Factor of 9116

Related Greatest Common Factor of 9124

Frequently Asked Questions on GCF of 9116 and 9124

1. What is the GCF of 9116 and 9124?

Answer: GCF of 9116 and 9124 is 4.

2. 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.

3. What are the Factors of 9124?

Answer: Factors of 9124 are 1, 2, 4, 2281, 4562, 9124. There are 6 integers that are factors of 9124. The greatest factor of 9124 is 9124.

4. How to Find the GCF of 9116 and 9124?

Answer:

Greatest Common Factor of 9116 and 9124 = 4

Step 1: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

Step 2: Find the prime factorization of 9124

9124 = 2 x 2 x 2281

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 9116 and 9124 is 4