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, 7211 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7203 and 7211 is 1.
GCF(7203,7211) = 1
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 7211
7211 | 7211 |
1 |
Prime factors of 7211 are 7211. Prime factorization of 7211 in exponential form is:
7211 = 72111
∴ So by taking common prime factors GCF of 7203 and 7211 is 1
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 7211
List of positive integer factors of 7211 that divides 7211 without a remainder.
1,7211
Greatest Common Factor
We found the factors and prime factorization of 7203 and 7211. The biggest common factor number is the GCF number.
So the greatest common factor 7203 and 7211 is 1.
Also check out the Least Common Multiple of 7203 and 7211
(i) The GCF of 7203 and 7211 is associative
GCF of 7203 and 7211 = GCF of 7211 and 7203
1. What is the GCF of 7203 and 7211?
Answer: GCF of 7203 and 7211 is 1.
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 7211?
Answer: Factors of 7211 are 1, 7211. There are 2 integers that are factors of 7211. The greatest factor of 7211 is 7211.
4. How to Find the GCF of 7203 and 7211?
Answer:
Greatest Common Factor of 7203 and 7211 = 1
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 7211
7211 = 7211
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 7203 and 7211 is 1