Greatest Common Factor of 99 and 100
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, 100 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 99 and 100 is 1.
GCF(99,100) = 1
GCF of 99 and 100
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 99 and 100 by prime factorization method
- Greatest Common Factor of 99 and 100 by matching factors method
GCF of 99 and 100 is 1
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 100
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 100 are 2,5. Prime factorization of 100 in exponential form is:
100 = 22×52
∴ So by taking common prime factors GCF of 99 and 100 is 1
Greatest Common Factor of 99 and 100 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 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors and prime factorization of 99 and 100. The biggest common factor number is the GCF number.
So the greatest common factor 99 and 100 is 1.
Also check out the Least Common Multiple of 99 and 100
Properties of GCF 99 and 100
(i) The GCF of 99 and 100 is associative
GCF of 99 and 100 = GCF of 100 and 99
Related Greatest Common Factor of 99
Related Greatest Common Factor of 100
Frequently Asked Questions on GCF of 99 and 100
1. What is the GCF of 99 and 100?
Answer: GCF of 99 and 100 is 1.
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 100?
Answer: Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. There are 9 integers that are factors of 100. The greatest factor of 100 is 100.
4. How to Find the GCF of 99 and 100?
Answer:
Greatest Common Factor of 99 and 100 = 1
Step 1: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 2: Find the prime factorization of 100
100 = 2 x 2 x 5 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 99 and 100 is 1