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, 1134 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1128 and 1134 is 6.
GCF(1128,1134) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1134
2 | 1134 |
3 | 567 |
3 | 189 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 1134 are 2,3,7. Prime factorization of 1134 in exponential form is:
1134 = 21×34×71
∴ So by taking common prime factors GCF of 1128 and 1134 is 6
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 1134
List of positive integer factors of 1134 that divides 1134 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Greatest Common Factor
We found the factors and prime factorization of 1128 and 1134. The biggest common factor number is the GCF number.
So the greatest common factor 1128 and 1134 is 6.
Also check out the Least Common Multiple of 1128 and 1134
(i) The GCF of 1128 and 1134 is associative
GCF of 1128 and 1134 = GCF of 1134 and 1128
1. What is the GCF of 1128 and 1134?
Answer: GCF of 1128 and 1134 is 6.
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 1134?
Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.
4. How to Find the GCF of 1128 and 1134?
Answer:
Greatest Common Factor of 1128 and 1134 = 6
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 1134
1134 = 2 x 3 x 3 x 3 x 3 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 1128 and 1134 is 6