Greatest Common Factor of 1130 and 1138

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 1130, 1138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1130 and 1138 is 2.

GCF(1130,1138) = 2

GCF of 1130 and 1138

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

GCF of:
and

Greatest Common Factor of 1130 and 1138

GCF of 1130 and 1138 is 2

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

Prime Factorization of 1138


2 1138
569 569
1

Prime factors of 1138 are 2,569. Prime factorization of 1138 in exponential form is:

1138 = 21×5691

∴ So by taking common prime factors GCF of 1130 and 1138 is 2

Greatest Common Factor of 1130 and 1138 by matching factors method

Factors of 1130

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

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

Factors of 1138

List of positive integer factors of 1138 that divides 1138 without a remainder.

1,2,569,1138

Greatest Common Factor

We found the factors and prime factorization of 1130 and 1138. The biggest common factor number is the GCF number.
So the greatest common factor 1130 and 1138 is 2.

Also check out the Least Common Multiple of 1130 and 1138

Properties of GCF 1130 and 1138

(i) The GCF of 1130 and 1138 is associative

GCF of 1130 and 1138 = GCF of 1138 and 1130

Related Greatest Common Factor of 1130

Related Greatest Common Factor of 1138

Frequently Asked Questions on GCF of 1130 and 1138

1. What is the GCF of 1130 and 1138?

Answer: GCF of 1130 and 1138 is 2.

2. 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.

3. What are the Factors of 1138?

Answer: Factors of 1138 are 1, 2, 569, 1138. There are 4 integers that are factors of 1138. The greatest factor of 1138 is 1138.

4. How to Find the GCF of 1130 and 1138?

Answer:

Greatest Common Factor of 1130 and 1138 = 2

Step 1: Find the prime factorization of 1130

1130 = 2 x 5 x 113

Step 2: Find the prime factorization of 1138

1138 = 2 x 569

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 1130 and 1138 is 2