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 9132, 9136 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9132 and 9136 is 4.
GCF(9132,9136) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9132
2 | 9132 |
2 | 4566 |
3 | 2283 |
761 | 761 |
1 |
Prime factors of 9132 are 2,3,761. Prime factorization of 9132 in exponential form is:
9132 = 22×31×7611
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
∴ So by taking common prime factors GCF of 9132 and 9136 is 4
Factors of 9132
List of positive integer factors of 9132 that divides 9132 without a remainder.
1,2,3,4,6,12,761,1522,2283,3044,4566,9132
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
Greatest Common Factor
We found the factors and prime factorization of 9132 and 9136. The biggest common factor number is the GCF number.
So the greatest common factor 9132 and 9136 is 4.
Also check out the Least Common Multiple of 9132 and 9136
(i) The GCF of 9132 and 9136 is associative
GCF of 9132 and 9136 = GCF of 9136 and 9132
1. What is the GCF of 9132 and 9136?
Answer: GCF of 9132 and 9136 is 4.
2. What are the Factors of 9132?
Answer: Factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132. There are 12 integers that are factors of 9132. The greatest factor of 9132 is 9132.
3. 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.
4. How to Find the GCF of 9132 and 9136?
Answer:
Greatest Common Factor of 9132 and 9136 = 4
Step 1: Find the prime factorization of 9132
9132 = 2 x 2 x 3 x 761
Step 2: Find the prime factorization of 9136
9136 = 2 x 2 x 2 x 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 x 2 = 4
Step 4: Therefore, the greatest common factor of 9132 and 9136 is 4