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 3204, 3208 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3204 and 3208 is 4.
GCF(3204,3208) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3204
2 | 3204 |
2 | 1602 |
3 | 801 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 3204 are 2,3,89. Prime factorization of 3204 in exponential form is:
3204 = 22×32×891
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 3204 and 3208 is 4
Factors of 3204
List of positive integer factors of 3204 that divides 3204 without a remainder.
1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
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 3204 and 3208. The biggest common factor number is the GCF number.
So the greatest common factor 3204 and 3208 is 4.
Also check out the Least Common Multiple of 3204 and 3208
(i) The GCF of 3204 and 3208 is associative
GCF of 3204 and 3208 = GCF of 3208 and 3204
1. What is the GCF of 3204 and 3208?
Answer: GCF of 3204 and 3208 is 4.
2. What are the Factors of 3204?
Answer: Factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. There are 18 integers that are factors of 3204. The greatest factor of 3204 is 3204.
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 3204 and 3208?
Answer:
Greatest Common Factor of 3204 and 3208 = 4
Step 1: Find the prime factorization of 3204
3204 = 2 x 2 x 3 x 3 x 89
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3204 and 3208 is 4