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 1088, 1096 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1088 and 1096 is 8.
GCF(1088,1096) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1088
2 | 1088 |
2 | 544 |
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 1088 are 2,17. Prime factorization of 1088 in exponential form is:
1088 = 26×171
Prime Factorization of 1096
2 | 1096 |
2 | 548 |
2 | 274 |
137 | 137 |
1 |
Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:
1096 = 23×1371
∴ So by taking common prime factors GCF of 1088 and 1096 is 8
Factors of 1088
List of positive integer factors of 1088 that divides 1088 without a remainder.
1,2,4,8,16,17,32,34,64,68,136,272,544,1088
Factors of 1096
List of positive integer factors of 1096 that divides 1096 without a remainder.
1,2,4,8,137,274,548,1096
Greatest Common Factor
We found the factors and prime factorization of 1088 and 1096. The biggest common factor number is the GCF number.
So the greatest common factor 1088 and 1096 is 8.
Also check out the Least Common Multiple of 1088 and 1096
(i) The GCF of 1088 and 1096 is associative
GCF of 1088 and 1096 = GCF of 1096 and 1088
1. What is the GCF of 1088 and 1096?
Answer: GCF of 1088 and 1096 is 8.
2. What are the Factors of 1088?
Answer: Factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088. There are 14 integers that are factors of 1088. The greatest factor of 1088 is 1088.
3. What are the Factors of 1096?
Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.
4. How to Find the GCF of 1088 and 1096?
Answer:
Greatest Common Factor of 1088 and 1096 = 8
Step 1: Find the prime factorization of 1088
1088 = 2 x 2 x 2 x 2 x 2 x 2 x 17
Step 2: Find the prime factorization of 1096
1096 = 2 x 2 x 2 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 1088 and 1096 is 8