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 1138, 1144 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1138 and 1144 is 2.
GCF(1138,1144) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1138
2 | 1138 |
569 | 569 |
1 |
Prime factors of 1138 are 2,569. Prime factorization of 1138 in exponential form is:
1138 = 21×5691
Prime Factorization of 1144
2 | 1144 |
2 | 572 |
2 | 286 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1144 are 2,11,13. Prime factorization of 1144 in exponential form is:
1144 = 23×111×131
∴ So by taking common prime factors GCF of 1138 and 1144 is 2
Factors of 1138
List of positive integer factors of 1138 that divides 1138 without a remainder.
1,2,569,1138
Factors of 1144
List of positive integer factors of 1144 that divides 1144 without a remainder.
1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144
Greatest Common Factor
We found the factors and prime factorization of 1138 and 1144. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1144 is 2.
Also check out the Least Common Multiple of 1138 and 1144
(i) The GCF of 1138 and 1144 is associative
GCF of 1138 and 1144 = GCF of 1144 and 1138
1. What is the GCF of 1138 and 1144?
Answer: GCF of 1138 and 1144 is 2.
2. What are the Factors of 1138?
Answer: Factors of 1138 are 1, 2, 569, 1138. There are 4 integers that are factors of 1138. The greatest factor of 1138 is 1138.
3. What are the Factors of 1144?
Answer: Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. There are 16 integers that are factors of 1144. The greatest factor of 1144 is 1144.
4. How to Find the GCF of 1138 and 1144?
Answer:
Greatest Common Factor of 1138 and 1144 = 2
Step 1: Find the prime factorization of 1138
1138 = 2 x 569
Step 2: Find the prime factorization of 1144
1144 = 2 x 2 x 2 x 11 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1138 and 1144 is 2