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 1124, 1128 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1124 and 1128 is 4.
GCF(1124,1128) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1124
2 | 1124 |
2 | 562 |
281 | 281 |
1 |
Prime factors of 1124 are 2,281. Prime factorization of 1124 in exponential form is:
1124 = 22×2811
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
∴ So by taking common prime factors GCF of 1124 and 1128 is 4
Factors of 1124
List of positive integer factors of 1124 that divides 1124 without a remainder.
1,2,4,281,562,1124
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 1124 and 1128. The biggest common factor number is the GCF number.
So the greatest common factor 1124 and 1128 is 4.
Also check out the Least Common Multiple of 1124 and 1128
(i) The GCF of 1124 and 1128 is associative
GCF of 1124 and 1128 = GCF of 1128 and 1124
1. What is the GCF of 1124 and 1128?
Answer: GCF of 1124 and 1128 is 4.
2. What are the Factors of 1124?
Answer: Factors of 1124 are 1, 2, 4, 281, 562, 1124. There are 6 integers that are factors of 1124. The greatest factor of 1124 is 1124.
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 1124 and 1128?
Answer:
Greatest Common Factor of 1124 and 1128 = 4
Step 1: Find the prime factorization of 1124
1124 = 2 x 2 x 281
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1124 and 1128 is 4