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 3202, 3206 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3202 and 3206 is 2.
GCF(3202,3206) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3202
2 | 3202 |
1601 | 1601 |
1 |
Prime factors of 3202 are 2,1601. Prime factorization of 3202 in exponential form is:
3202 = 21×16011
Prime Factorization of 3206
2 | 3206 |
7 | 1603 |
229 | 229 |
1 |
Prime factors of 3206 are 2,7,229. Prime factorization of 3206 in exponential form is:
3206 = 21×71×2291
∴ So by taking common prime factors GCF of 3202 and 3206 is 2
Factors of 3202
List of positive integer factors of 3202 that divides 3202 without a remainder.
1,2,1601,3202
Factors of 3206
List of positive integer factors of 3206 that divides 3206 without a remainder.
1,2,7,14,229,458,1603,3206
Greatest Common Factor
We found the factors and prime factorization of 3202 and 3206. The biggest common factor number is the GCF number.
So the greatest common factor 3202 and 3206 is 2.
Also check out the Least Common Multiple of 3202 and 3206
(i) The GCF of 3202 and 3206 is associative
GCF of 3202 and 3206 = GCF of 3206 and 3202
1. What is the GCF of 3202 and 3206?
Answer: GCF of 3202 and 3206 is 2.
2. What are the Factors of 3202?
Answer: Factors of 3202 are 1, 2, 1601, 3202. There are 4 integers that are factors of 3202. The greatest factor of 3202 is 3202.
3. What are the Factors of 3206?
Answer: Factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206. There are 8 integers that are factors of 3206. The greatest factor of 3206 is 3206.
4. How to Find the GCF of 3202 and 3206?
Answer:
Greatest Common Factor of 3202 and 3206 = 2
Step 1: Find the prime factorization of 3202
3202 = 2 x 1601
Step 2: Find the prime factorization of 3206
3206 = 2 x 7 x 229
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3202 and 3206 is 2