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 7195, 7203 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7195 and 7203 is 1.
GCF(7195,7203) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7195
5 | 7195 |
1439 | 1439 |
1 |
Prime factors of 7195 are 5,1439. Prime factorization of 7195 in exponential form is:
7195 = 51×14391
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
∴ So by taking common prime factors GCF of 7195 and 7203 is 1
Factors of 7195
List of positive integer factors of 7195 that divides 7195 without a remainder.
1,5,1439,7195
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
Greatest Common Factor
We found the factors and prime factorization of 7195 and 7203. The biggest common factor number is the GCF number.
So the greatest common factor 7195 and 7203 is 1.
Also check out the Least Common Multiple of 7195 and 7203
(i) The GCF of 7195 and 7203 is associative
GCF of 7195 and 7203 = GCF of 7203 and 7195
1. What is the GCF of 7195 and 7203?
Answer: GCF of 7195 and 7203 is 1.
2. What are the Factors of 7195?
Answer: Factors of 7195 are 1, 5, 1439, 7195. There are 4 integers that are factors of 7195. The greatest factor of 7195 is 7195.
3. 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.
4. How to Find the GCF of 7195 and 7203?
Answer:
Greatest Common Factor of 7195 and 7203 = 1
Step 1: Find the prime factorization of 7195
7195 = 5 x 1439
Step 2: Find the prime factorization of 7203
7203 = 3 x 7 x 7 x 7 x 7
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 7195 and 7203 is 1