Greatest Common Factor of 9116 and 9121

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, 9121 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9116 and 9121 is 1.

GCF(9116,9121) = 1

GCF of 9116 and 9121

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

GCF of:
and

Greatest Common Factor of 9116 and 9121

GCF of 9116 and 9121 is 1

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 9121


7 9121
1303 1303
1

Prime factors of 9121 are 7,1303. Prime factorization of 9121 in exponential form is:

9121 = 71×13031

∴ So by taking common prime factors GCF of 9116 and 9121 is 1

Greatest Common Factor of 9116 and 9121 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 9121

List of positive integer factors of 9121 that divides 9121 without a remainder.

1,7,1303,9121

Greatest Common Factor

We found the factors and prime factorization of 9116 and 9121. The biggest common factor number is the GCF number.
So the greatest common factor 9116 and 9121 is 1.

Also check out the Least Common Multiple of 9116 and 9121

Properties of GCF 9116 and 9121

(i) The GCF of 9116 and 9121 is associative

GCF of 9116 and 9121 = GCF of 9121 and 9116

Related Greatest Common Factor of 9116

Related Greatest Common Factor of 9121

Frequently Asked Questions on GCF of 9116 and 9121

1. What is the GCF of 9116 and 9121?

Answer: GCF of 9116 and 9121 is 1.

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 9121?

Answer: Factors of 9121 are 1, 7, 1303, 9121. There are 4 integers that are factors of 9121. The greatest factor of 9121 is 9121.

4. How to Find the GCF of 9116 and 9121?

Answer:

Greatest Common Factor of 9116 and 9121 = 1

Step 1: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

Step 2: Find the prime factorization of 9121

9121 = 7 x 1303

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9116 and 9121 is 1