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 7345, 7353 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7345 and 7353 is 1.
GCF(7345,7353) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7345
5 | 7345 |
13 | 1469 |
113 | 113 |
1 |
Prime factors of 7345 are 5,13,113. Prime factorization of 7345 in exponential form is:
7345 = 51×131×1131
Prime Factorization of 7353
3 | 7353 |
3 | 2451 |
19 | 817 |
43 | 43 |
1 |
Prime factors of 7353 are 3,19,43. Prime factorization of 7353 in exponential form is:
7353 = 32×191×431
∴ So by taking common prime factors GCF of 7345 and 7353 is 1
Factors of 7345
List of positive integer factors of 7345 that divides 7345 without a remainder.
1,5,13,65,113,565,1469,7345
Factors of 7353
List of positive integer factors of 7353 that divides 7353 without a remainder.
1,3,9,19,43,57,129,171,387,817,2451,7353
Greatest Common Factor
We found the factors and prime factorization of 7345 and 7353. The biggest common factor number is the GCF number.
So the greatest common factor 7345 and 7353 is 1.
Also check out the Least Common Multiple of 7345 and 7353
(i) The GCF of 7345 and 7353 is associative
GCF of 7345 and 7353 = GCF of 7353 and 7345
1. What is the GCF of 7345 and 7353?
Answer: GCF of 7345 and 7353 is 1.
2. What are the Factors of 7345?
Answer: Factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345. There are 8 integers that are factors of 7345. The greatest factor of 7345 is 7345.
3. What are the Factors of 7353?
Answer: Factors of 7353 are 1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451, 7353. There are 12 integers that are factors of 7353. The greatest factor of 7353 is 7353.
4. How to Find the GCF of 7345 and 7353?
Answer:
Greatest Common Factor of 7345 and 7353 = 1
Step 1: Find the prime factorization of 7345
7345 = 5 x 13 x 113
Step 2: Find the prime factorization of 7353
7353 = 3 x 3 x 19 x 43
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 7345 and 7353 is 1