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 2199, 2207 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2199 and 2207 is 1.
GCF(2199,2207) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2199
3 | 2199 |
733 | 733 |
1 |
Prime factors of 2199 are 3,733. Prime factorization of 2199 in exponential form is:
2199 = 31×7331
Prime Factorization of 2207
2207 | 2207 |
1 |
Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:
2207 = 22071
∴ So by taking common prime factors GCF of 2199 and 2207 is 1
Factors of 2199
List of positive integer factors of 2199 that divides 2199 without a remainder.
1,3,733,2199
Factors of 2207
List of positive integer factors of 2207 that divides 2207 without a remainder.
1,2207
Greatest Common Factor
We found the factors and prime factorization of 2199 and 2207. The biggest common factor number is the GCF number.
So the greatest common factor 2199 and 2207 is 1.
Also check out the Least Common Multiple of 2199 and 2207
(i) The GCF of 2199 and 2207 is associative
GCF of 2199 and 2207 = GCF of 2207 and 2199
1. What is the GCF of 2199 and 2207?
Answer: GCF of 2199 and 2207 is 1.
2. What are the Factors of 2199?
Answer: Factors of 2199 are 1, 3, 733, 2199. There are 4 integers that are factors of 2199. The greatest factor of 2199 is 2199.
3. What are the Factors of 2207?
Answer: Factors of 2207 are 1, 2207. There are 2 integers that are factors of 2207. The greatest factor of 2207 is 2207.
4. How to Find the GCF of 2199 and 2207?
Answer:
Greatest Common Factor of 2199 and 2207 = 1
Step 1: Find the prime factorization of 2199
2199 = 3 x 733
Step 2: Find the prime factorization of 2207
2207 = 2207
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 2199 and 2207 is 1