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 9138, 9142 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9138 and 9142 is 2.
GCF(9138,9142) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9138
2 | 9138 |
3 | 4569 |
1523 | 1523 |
1 |
Prime factors of 9138 are 2,3,1523. Prime factorization of 9138 in exponential form is:
9138 = 21×31×15231
Prime Factorization of 9142
2 | 9142 |
7 | 4571 |
653 | 653 |
1 |
Prime factors of 9142 are 2,7,653. Prime factorization of 9142 in exponential form is:
9142 = 21×71×6531
∴ So by taking common prime factors GCF of 9138 and 9142 is 2
Factors of 9138
List of positive integer factors of 9138 that divides 9138 without a remainder.
1,2,3,6,1523,3046,4569,9138
Factors of 9142
List of positive integer factors of 9142 that divides 9142 without a remainder.
1,2,7,14,653,1306,4571,9142
Greatest Common Factor
We found the factors and prime factorization of 9138 and 9142. The biggest common factor number is the GCF number.
So the greatest common factor 9138 and 9142 is 2.
Also check out the Least Common Multiple of 9138 and 9142
(i) The GCF of 9138 and 9142 is associative
GCF of 9138 and 9142 = GCF of 9142 and 9138
1. What is the GCF of 9138 and 9142?
Answer: GCF of 9138 and 9142 is 2.
2. What are the Factors of 9138?
Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.
3. What are the Factors of 9142?
Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.
4. How to Find the GCF of 9138 and 9142?
Answer:
Greatest Common Factor of 9138 and 9142 = 2
Step 1: Find the prime factorization of 9138
9138 = 2 x 3 x 1523
Step 2: Find the prime factorization of 9142
9142 = 2 x 7 x 653
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 9138 and 9142 is 2