Greatest Common Factor of 1123 and 1128

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, 1128 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1123 and 1128 is 1.

GCF(1123,1128) = 1

GCF of 1123 and 1128

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

GCF of:
and

Greatest Common Factor of 1123 and 1128

GCF of 1123 and 1128 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 1128


2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 1128 are 2.Prime factorization of 1128 in exponential form is:

1128 = 23×31×471

∴ So by taking common prime factors GCF of 1123 and 1128 is 1

Greatest Common Factor of 1123 and 1128 by matching factors method

Factors of 1123

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

1,1123

Factors of 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128

Greatest Common Factor

We found the factors and prime factorization of 1123 and 1128. The biggest common factor number is the GCF number.
So the greatest common factor 1123 and 1128 is 1.

Also check out the Least Common Multiple of 1123 and 1128

Properties of GCF 1123 and 1128

(i) The GCF of 1123 and 1128 is associative

GCF of 1123 and 1128 = GCF of 1128 and 1123

Related Greatest Common Factor of 1123

Related Greatest Common Factor of 1128

Frequently Asked Questions on GCF of 1123 and 1128

1. What is the GCF of 1123 and 1128?

Answer: GCF of 1123 and 1128 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 1128?

Answer: Factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. There are 16 integers that are factors of 1128. The greatest factor of 1128 is 1128.

4. How to Find the GCF of 1123 and 1128?

Answer:

Greatest Common Factor of 1123 and 1128 = 1

Step 1: Find the prime factorization of 1123

1123 = 1123

Step 2: Find the prime factorization of 1128

1128 = 2 x 2 x 2 x 3 x 47

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 1128 is 1