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 7203, 7210 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7203 and 7210 is 7.
GCF(7203,7210) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7203
3 | 7203 |
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 7203 are 3,7. Prime factorization of 7203 in exponential form is:
7203 = 31×74
Prime Factorization of 7210
2 | 7210 |
5 | 3605 |
7 | 721 |
103 | 103 |
1 |
Prime factors of 7210 are 2,5,7,103. Prime factorization of 7210 in exponential form is:
7210 = 21×51×71×1031
∴ So by taking common prime factors GCF of 7203 and 7210 is 7
Factors of 7203
List of positive integer factors of 7203 that divides 7203 without a remainder.
1,3,7,21,49,147,343,1029,2401,7203
Factors of 7210
List of positive integer factors of 7210 that divides 7210 without a remainder.
1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors and prime factorization of 7203 and 7210. The biggest common factor number is the GCF number.
So the greatest common factor 7203 and 7210 is 7.
Also check out the Least Common Multiple of 7203 and 7210
(i) The GCF of 7203 and 7210 is associative
GCF of 7203 and 7210 = GCF of 7210 and 7203
1. What is the GCF of 7203 and 7210?
Answer: GCF of 7203 and 7210 is 7.
2. What are the Factors of 7203?
Answer: Factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203. There are 10 integers that are factors of 7203. The greatest factor of 7203 is 7203.
3. What are the Factors of 7210?
Answer: Factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210. There are 16 integers that are factors of 7210. The greatest factor of 7210 is 7210.
4. How to Find the GCF of 7203 and 7210?
Answer:
Greatest Common Factor of 7203 and 7210 = 7
Step 1: Find the prime factorization of 7203
7203 = 3 x 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 7210
7210 = 2 x 5 x 7 x 103
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7203 and 7210 is 7