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 1142, 1148 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1142 and 1148 is 2.
GCF(1142,1148) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1148
2 | 1148 |
2 | 574 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 1148 are 2,7,41. Prime factorization of 1148 in exponential form is:
1148 = 22×71×411
∴ So by taking common prime factors GCF of 1142 and 1148 is 2
Factors of 1142
List of positive integer factors of 1142 that divides 1142 without a remainder.
1,2,571,1142
Factors of 1148
List of positive integer factors of 1148 that divides 1148 without a remainder.
1,2,4,7,14,28,41,82,164,287,574,1148
Greatest Common Factor
We found the factors and prime factorization of 1142 and 1148. The biggest common factor number is the GCF number.
So the greatest common factor 1142 and 1148 is 2.
Also check out the Least Common Multiple of 1142 and 1148
(i) The GCF of 1142 and 1148 is associative
GCF of 1142 and 1148 = GCF of 1148 and 1142
1. What is the GCF of 1142 and 1148?
Answer: GCF of 1142 and 1148 is 2.
2. 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.
3. What are the Factors of 1148?
Answer: Factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. There are 12 integers that are factors of 1148. The greatest factor of 1148 is 1148.
4. How to Find the GCF of 1142 and 1148?
Answer:
Greatest Common Factor of 1142 and 1148 = 2
Step 1: Find the prime factorization of 1142
1142 = 2 x 571
Step 2: Find the prime factorization of 1148
1148 = 2 x 2 x 7 x 41
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 1142 and 1148 is 2