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 3207, 3208 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3207 and 3208 is 1.
GCF(3207,3208) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3207
3 | 3207 |
1069 | 1069 |
1 |
Prime factors of 3207 are 3,1069. Prime factorization of 3207 in exponential form is:
3207 = 31×10691
Prime Factorization of 3208
2 | 3208 |
2 | 1604 |
2 | 802 |
401 | 401 |
1 |
Prime factors of 3208 are 2,401. Prime factorization of 3208 in exponential form is:
3208 = 23×4011
∴ So by taking common prime factors GCF of 3207 and 3208 is 1
Factors of 3207
List of positive integer factors of 3207 that divides 3207 without a remainder.
1,3,1069,3207
Factors of 3208
List of positive integer factors of 3208 that divides 3208 without a remainder.
1,2,4,8,401,802,1604,3208
Greatest Common Factor
We found the factors and prime factorization of 3207 and 3208. The biggest common factor number is the GCF number.
So the greatest common factor 3207 and 3208 is 1.
Also check out the Least Common Multiple of 3207 and 3208
(i) The GCF of 3207 and 3208 is associative
GCF of 3207 and 3208 = GCF of 3208 and 3207
1. What is the GCF of 3207 and 3208?
Answer: GCF of 3207 and 3208 is 1.
2. What are the Factors of 3207?
Answer: Factors of 3207 are 1, 3, 1069, 3207. There are 4 integers that are factors of 3207. The greatest factor of 3207 is 3207.
3. What are the Factors of 3208?
Answer: Factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208. There are 8 integers that are factors of 3208. The greatest factor of 3208 is 3208.
4. How to Find the GCF of 3207 and 3208?
Answer:
Greatest Common Factor of 3207 and 3208 = 1
Step 1: Find the prime factorization of 3207
3207 = 3 x 1069
Step 2: Find the prime factorization of 3208
3208 = 2 x 2 x 2 x 401
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 3207 and 3208 is 1