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 2207, 2208 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2207 and 2208 is 1.
GCF(2207,2208) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2207
2207 | 2207 |
1 |
Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:
2207 = 22071
Prime Factorization of 2208
2 | 2208 |
2 | 1104 |
2 | 552 |
2 | 276 |
2 | 138 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 2208 are 2.Prime factorization of 2208 in exponential form is:
2208 = 25×31×231
∴ So by taking common prime factors GCF of 2207 and 2208 is 1
Factors of 2207
List of positive integer factors of 2207 that divides 2207 without a remainder.
1,2207
Factors of 2208
List of positive integer factors of 2208 that divides 2208 without a remainder.
1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208
Greatest Common Factor
We found the factors and prime factorization of 2207 and 2208. The biggest common factor number is the GCF number.
So the greatest common factor 2207 and 2208 is 1.
Also check out the Least Common Multiple of 2207 and 2208
(i) The GCF of 2207 and 2208 is associative
GCF of 2207 and 2208 = GCF of 2208 and 2207
1. What is the GCF of 2207 and 2208?
Answer: GCF of 2207 and 2208 is 1.
2. 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.
3. What are the Factors of 2208?
Answer: Factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. There are 24 integers that are factors of 2208. The greatest factor of 2208 is 2208.
4. How to Find the GCF of 2207 and 2208?
Answer:
Greatest Common Factor of 2207 and 2208 = 1
Step 1: Find the prime factorization of 2207
2207 = 2207
Step 2: Find the prime factorization of 2208
2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23
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 2207 and 2208 is 1