Greatest Common Factor of 1128 and 1129

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 1128, 1129 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1128 and 1129 is 1.

GCF(1128,1129) = 1

GCF of 1128 and 1129

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

GCF of:
and

Greatest Common Factor of 1128 and 1129

GCF of 1128 and 1129 is 1

Prime Factorization of 1128


2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 1128 are 2,3,47. Prime factorization of 1128 in exponential form is:

1128 = 23×31×471

Prime Factorization of 1129


1129 1129
1

Prime factors of 1129 are 1129. Prime factorization of 1129 in exponential form is:

1129 = 11291

∴ So by taking common prime factors GCF of 1128 and 1129 is 1

Greatest Common Factor of 1128 and 1129 by matching factors method

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

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1,1129

Greatest Common Factor

We found the factors and prime factorization of 1128 and 1129. The biggest common factor number is the GCF number.
So the greatest common factor 1128 and 1129 is 1.

Also check out the Least Common Multiple of 1128 and 1129

Properties of GCF 1128 and 1129

(i) The GCF of 1128 and 1129 is associative

GCF of 1128 and 1129 = GCF of 1129 and 1128

Frequently Asked Questions on GCF of 1128 and 1129

1. What is the GCF of 1128 and 1129?

Answer: GCF of 1128 and 1129 is 1.

2. 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.

3. What are the Factors of 1129?

Answer: Factors of 1129 are 1, 1129. There are 2 integers that are factors of 1129. The greatest factor of 1129 is 1129.

4. How to Find the GCF of 1128 and 1129?

Answer:

Greatest Common Factor of 1128 and 1129 = 1

Step 1: Find the prime factorization of 1128

1128 = 2 x 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 1129

1129 = 1129

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 1128 and 1129 is 1