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 2133, 2136 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2133 and 2136 is 3.
GCF(2133,2136) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2133
3 | 2133 |
3 | 711 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 2133 are 3,79. Prime factorization of 2133 in exponential form is:
2133 = 33×791
Prime Factorization of 2136
2 | 2136 |
2 | 1068 |
2 | 534 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 2136 are 2,3,89. Prime factorization of 2136 in exponential form is:
2136 = 23×31×891
∴ So by taking common prime factors GCF of 2133 and 2136 is 3
Factors of 2133
List of positive integer factors of 2133 that divides 2133 without a remainder.
1,3,9,27,79,237,711,2133
Factors of 2136
List of positive integer factors of 2136 that divides 2136 without a remainder.
1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Greatest Common Factor
We found the factors and prime factorization of 2133 and 2136. The biggest common factor number is the GCF number.
So the greatest common factor 2133 and 2136 is 3.
Also check out the Least Common Multiple of 2133 and 2136
(i) The GCF of 2133 and 2136 is associative
GCF of 2133 and 2136 = GCF of 2136 and 2133
1. What is the GCF of 2133 and 2136?
Answer: GCF of 2133 and 2136 is 3.
2. What are the Factors of 2133?
Answer: Factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133. There are 8 integers that are factors of 2133. The greatest factor of 2133 is 2133.
3. What are the Factors of 2136?
Answer: Factors of 2136 are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136. There are 16 integers that are factors of 2136. The greatest factor of 2136 is 2136.
4. How to Find the GCF of 2133 and 2136?
Answer:
Greatest Common Factor of 2133 and 2136 = 3
Step 1: Find the prime factorization of 2133
2133 = 3 x 3 x 3 x 79
Step 2: Find the prime factorization of 2136
2136 = 2 x 2 x 2 x 3 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2133 and 2136 is 3