Greatest Common Factor of 1122 and 1130

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 1122, 1130 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1122 and 1130 is 2.

GCF(1122,1130) = 2

GCF of 1122 and 1130

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

GCF of:
and

Greatest Common Factor of 1122 and 1130

GCF of 1122 and 1130 is 2

Prime Factorization of 1122


2 1122
3 561
11 187
17 17
1

Prime factors of 1122 are 2,3,11,17. Prime factorization of 1122 in exponential form is:

1122 = 21×31×111×171

Prime Factorization of 1130


2 1130
5 565
113 113
1

Prime factors of 1130 are 2,5,113. Prime factorization of 1130 in exponential form is:

1130 = 21×51×1131

∴ So by taking common prime factors GCF of 1122 and 1130 is 2

Greatest Common Factor of 1122 and 1130 by matching factors method

Factors of 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122

Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1,2,5,10,113,226,565,1130

Greatest Common Factor

We found the factors and prime factorization of 1122 and 1130. The biggest common factor number is the GCF number.
So the greatest common factor 1122 and 1130 is 2.

Also check out the Least Common Multiple of 1122 and 1130

Properties of GCF 1122 and 1130

(i) The GCF of 1122 and 1130 is associative

GCF of 1122 and 1130 = GCF of 1130 and 1122

Related Greatest Common Factor of 1122

Related Greatest Common Factor of 1130

Frequently Asked Questions on GCF of 1122 and 1130

1. What is the GCF of 1122 and 1130?

Answer: GCF of 1122 and 1130 is 2.

2. What are the Factors of 1122?

Answer: Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. There are 16 integers that are factors of 1122. The greatest factor of 1122 is 1122.

3. What are the Factors of 1130?

Answer: Factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130. There are 8 integers that are factors of 1130. The greatest factor of 1130 is 1130.

4. How to Find the GCF of 1122 and 1130?

Answer:

Greatest Common Factor of 1122 and 1130 = 2

Step 1: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 1130

1130 = 2 x 5 x 113

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1122 and 1130 is 2