Greatest Common Factor of 99 and 103
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, 103 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 99 and 103 is 1.
GCF(99,103) = 1
GCF of 99 and 103
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 99 and 103 by prime factorization method
- Greatest Common Factor of 99 and 103 by matching factors method
GCF of 99 and 103 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 103
| 103 | 103 |
| 1 |
Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:
103 = 1031
∴ So by taking common prime factors GCF of 99 and 103 is 1
Greatest Common Factor of 99 and 103 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 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors and prime factorization of 99 and 103. The biggest common factor number is the GCF number.
So the greatest common factor 99 and 103 is 1.
Also check out the Least Common Multiple of 99 and 103
Properties of GCF 99 and 103
(i) The GCF of 99 and 103 is associative
GCF of 99 and 103 = GCF of 103 and 99
Related Greatest Common Factor of 99
Related Greatest Common Factor of 103
Frequently Asked Questions on GCF of 99 and 103
1. What is the GCF of 99 and 103?
Answer: GCF of 99 and 103 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 103?
Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.
4. How to Find the GCF of 99 and 103?
Answer:
Greatest Common Factor of 99 and 103 = 1
Step 1: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 2: Find the prime factorization of 103
103 = 103
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 103 is 1
