Greatest Common Factor of 99 and 102
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 99, 102 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 99 and 102 is 3.
GCF(99,102) = 3
GCF of 99 and 102
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 99 and 102 by prime factorization method
- Greatest Common Factor of 99 and 102 by matching factors method
GCF of 99 and 102 is 3
Prime Factorization of 99
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 99 are 3,11. Prime factorization of 99 in exponential form is:
99 = 32×111
Prime Factorization of 102
| 2 | 102 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 102 are 2,3,17. Prime factorization of 102 in exponential form is:
102 = 21×31×171
∴ So by taking common prime factors GCF of 99 and 102 is 3
Greatest Common Factor of 99 and 102 by matching factors method
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors and prime factorization of 99 and 102. The biggest common factor number is the GCF number.
So the greatest common factor 99 and 102 is 3.
Also check out the Least Common Multiple of 99 and 102
Properties of GCF 99 and 102
(i) The GCF of 99 and 102 is associative
GCF of 99 and 102 = GCF of 102 and 99
Related Greatest Common Factor of 99
Related Greatest Common Factor of 102
Frequently Asked Questions on GCF of 99 and 102
1. What is the GCF of 99 and 102?
Answer: GCF of 99 and 102 is 3.
2. What are the Factors of 99?
Answer: Factors of 99 are 1, 3, 9, 11, 33, 99. There are 6 integers that are factors of 99. The greatest factor of 99 is 99.
3. What are the Factors of 102?
Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.
4. How to Find the GCF of 99 and 102?
Answer:
Greatest Common Factor of 99 and 102 = 3
Step 1: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 2: Find the prime factorization of 102
102 = 2 x 3 x 17
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 99 and 102 is 3