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 9136, 9138 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9136 and 9138 is 2.
GCF(9136,9138) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9136
2 | 9136 |
2 | 4568 |
2 | 2284 |
2 | 1142 |
571 | 571 |
1 |
Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:
9136 = 24×5711
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
∴ So by taking common prime factors GCF of 9136 and 9138 is 2
Factors of 9136
List of positive integer factors of 9136 that divides 9136 without a remainder.
1,2,4,8,16,571,1142,2284,4568,9136
Factors of 9138
List of positive integer factors of 9138 that divides 9138 without a remainder.
1,2,3,6,1523,3046,4569,9138
Greatest Common Factor
We found the factors and prime factorization of 9136 and 9138. The biggest common factor number is the GCF number.
So the greatest common factor 9136 and 9138 is 2.
Also check out the Least Common Multiple of 9136 and 9138
(i) The GCF of 9136 and 9138 is associative
GCF of 9136 and 9138 = GCF of 9138 and 9136
1. What is the GCF of 9136 and 9138?
Answer: GCF of 9136 and 9138 is 2.
2. What are the Factors of 9136?
Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.
3. 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.
4. How to Find the GCF of 9136 and 9138?
Answer:
Greatest Common Factor of 9136 and 9138 = 2
Step 1: Find the prime factorization of 9136
9136 = 2 x 2 x 2 x 2 x 571
Step 2: Find the prime factorization of 9138
9138 = 2 x 3 x 1523
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 9136 and 9138 is 2