Greatest Common Factor of 1123 and 1127

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 1123, 1127 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1123 and 1127 is 1.

GCF(1123,1127) = 1

GCF of 1123 and 1127

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

GCF of:
and

Greatest Common Factor of 1123 and 1127

GCF of 1123 and 1127 is 1

Prime Factorization of 1123


1123 1123
1

Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:

1123 = 11231

Prime Factorization of 1127


7 1127
7 161
23 23
1

Prime factors of 1127 are 7.Prime factorization of 1127 in exponential form is:

1127 = 72×231

∴ So by taking common prime factors GCF of 1123 and 1127 is 1

Greatest Common Factor of 1123 and 1127 by matching factors method

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1,1123

Factors of 1127

List of positive integer factors of 1127 that divides 1127 without a remainder.

1,7,23,49,161,1127

Greatest Common Factor

We found the factors and prime factorization of 1123 and 1127. The biggest common factor number is the GCF number.
So the greatest common factor 1123 and 1127 is 1.

Also check out the Least Common Multiple of 1123 and 1127

Properties of GCF 1123 and 1127

(i) The GCF of 1123 and 1127 is associative

GCF of 1123 and 1127 = GCF of 1127 and 1123

Related Greatest Common Factor of 1123

Related Greatest Common Factor of 1127

Frequently Asked Questions on GCF of 1123 and 1127

1. What is the GCF of 1123 and 1127?

Answer: GCF of 1123 and 1127 is 1.

2. What are the Factors of 1123?

Answer: Factors of 1123 are 1, 1123. There are 2 integers that are factors of 1123. The greatest factor of 1123 is 1123.

3. What are the Factors of 1127?

Answer: Factors of 1127 are 1, 7, 23, 49, 161, 1127. There are 6 integers that are factors of 1127. The greatest factor of 1127 is 1127.

4. How to Find the GCF of 1123 and 1127?

Answer:

Greatest Common Factor of 1123 and 1127 = 1

Step 1: Find the prime factorization of 1123

1123 = 1123

Step 2: Find the prime factorization of 1127

1127 = 7 x 7 x 23

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 1123 and 1127 is 1