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, 1142 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1138 and 1142 is 2.
GCF(1138,1142) = 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 1142
2 | 1142 |
571 | 571 |
1 |
Prime factors of 1142 are 2,571. Prime factorization of 1142 in exponential form is:
1142 = 21×5711
∴ So by taking common prime factors GCF of 1138 and 1142 is 2
Factors of 1138
List of positive integer factors of 1138 that divides 1138 without a remainder.
1,2,569,1138
Factors of 1142
List of positive integer factors of 1142 that divides 1142 without a remainder.
1,2,571,1142
Greatest Common Factor
We found the factors and prime factorization of 1138 and 1142. The biggest common factor number is the GCF number.
So the greatest common factor 1138 and 1142 is 2.
Also check out the Least Common Multiple of 1138 and 1142
(i) The GCF of 1138 and 1142 is associative
GCF of 1138 and 1142 = GCF of 1142 and 1138
1. What is the GCF of 1138 and 1142?
Answer: GCF of 1138 and 1142 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 1142?
Answer: Factors of 1142 are 1, 2, 571, 1142. There are 4 integers that are factors of 1142. The greatest factor of 1142 is 1142.
4. How to Find the GCF of 1138 and 1142?
Answer:
Greatest Common Factor of 1138 and 1142 = 2
Step 1: Find the prime factorization of 1138
1138 = 2 x 569
Step 2: Find the prime factorization of 1142
1142 = 2 x 571
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 1142 is 2