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 7225, 7232 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7225 and 7232 is 1.
GCF(7225,7232) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7225
5 | 7225 |
5 | 1445 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 7225 are 5,17. Prime factorization of 7225 in exponential form is:
7225 = 52×172
Prime Factorization of 7232
2 | 7232 |
2 | 3616 |
2 | 1808 |
2 | 904 |
2 | 452 |
2 | 226 |
113 | 113 |
1 |
Prime factors of 7232 are 2,113. Prime factorization of 7232 in exponential form is:
7232 = 26×1131
∴ So by taking common prime factors GCF of 7225 and 7232 is 1
Factors of 7225
List of positive integer factors of 7225 that divides 7225 without a remainder.
1,5,17,25,85,289,425,1445,7225
Factors of 7232
List of positive integer factors of 7232 that divides 7232 without a remainder.
1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232
Greatest Common Factor
We found the factors and prime factorization of 7225 and 7232. The biggest common factor number is the GCF number.
So the greatest common factor 7225 and 7232 is 1.
Also check out the Least Common Multiple of 7225 and 7232
(i) The GCF of 7225 and 7232 is associative
GCF of 7225 and 7232 = GCF of 7232 and 7225
1. What is the GCF of 7225 and 7232?
Answer: GCF of 7225 and 7232 is 1.
2. What are the Factors of 7225?
Answer: Factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. There are 9 integers that are factors of 7225. The greatest factor of 7225 is 7225.
3. What are the Factors of 7232?
Answer: Factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232. There are 14 integers that are factors of 7232. The greatest factor of 7232 is 7232.
4. How to Find the GCF of 7225 and 7232?
Answer:
Greatest Common Factor of 7225 and 7232 = 1
Step 1: Find the prime factorization of 7225
7225 = 5 x 5 x 17 x 17
Step 2: Find the prime factorization of 7232
7232 = 2 x 2 x 2 x 2 x 2 x 2 x 113
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 7225 and 7232 is 1