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 7196, 7204 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7196 and 7204 is 4.
GCF(7196,7204) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7196
2 | 7196 |
2 | 3598 |
7 | 1799 |
257 | 257 |
1 |
Prime factors of 7196 are 2,7,257. Prime factorization of 7196 in exponential form is:
7196 = 22×71×2571
Prime Factorization of 7204
2 | 7204 |
2 | 3602 |
1801 | 1801 |
1 |
Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:
7204 = 22×18011
∴ So by taking common prime factors GCF of 7196 and 7204 is 4
Factors of 7196
List of positive integer factors of 7196 that divides 7196 without a remainder.
1,2,4,7,14,28,257,514,1028,1799,3598,7196
Factors of 7204
List of positive integer factors of 7204 that divides 7204 without a remainder.
1,2,4,1801,3602,7204
Greatest Common Factor
We found the factors and prime factorization of 7196 and 7204. The biggest common factor number is the GCF number.
So the greatest common factor 7196 and 7204 is 4.
Also check out the Least Common Multiple of 7196 and 7204
(i) The GCF of 7196 and 7204 is associative
GCF of 7196 and 7204 = GCF of 7204 and 7196
1. What is the GCF of 7196 and 7204?
Answer: GCF of 7196 and 7204 is 4.
2. What are the Factors of 7196?
Answer: Factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196. There are 12 integers that are factors of 7196. The greatest factor of 7196 is 7196.
3. What are the Factors of 7204?
Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.
4. How to Find the GCF of 7196 and 7204?
Answer:
Greatest Common Factor of 7196 and 7204 = 4
Step 1: Find the prime factorization of 7196
7196 = 2 x 2 x 7 x 257
Step 2: Find the prime factorization of 7204
7204 = 2 x 2 x 1801
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 7196 and 7204 is 4