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 7245, 7246 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7245 and 7246 is 1.
GCF(7245,7246) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7245
3 | 7245 |
3 | 2415 |
5 | 805 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 7245 are 3,5,7,23. Prime factorization of 7245 in exponential form is:
7245 = 32×51×71×231
Prime Factorization of 7246
2 | 7246 |
3623 | 3623 |
1 |
Prime factors of 7246 are 2,3623. Prime factorization of 7246 in exponential form is:
7246 = 21×36231
∴ So by taking common prime factors GCF of 7245 and 7246 is 1
Factors of 7245
List of positive integer factors of 7245 that divides 7245 without a remainder.
1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Factors of 7246
List of positive integer factors of 7246 that divides 7246 without a remainder.
1,2,3623,7246
Greatest Common Factor
We found the factors and prime factorization of 7245 and 7246. The biggest common factor number is the GCF number.
So the greatest common factor 7245 and 7246 is 1.
Also check out the Least Common Multiple of 7245 and 7246
(i) The GCF of 7245 and 7246 is associative
GCF of 7245 and 7246 = GCF of 7246 and 7245
1. What is the GCF of 7245 and 7246?
Answer: GCF of 7245 and 7246 is 1.
2. What are the Factors of 7245?
Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.
3. What are the Factors of 7246?
Answer: Factors of 7246 are 1, 2, 3623, 7246. There are 4 integers that are factors of 7246. The greatest factor of 7246 is 7246.
4. How to Find the GCF of 7245 and 7246?
Answer:
Greatest Common Factor of 7245 and 7246 = 1
Step 1: Find the prime factorization of 7245
7245 = 3 x 3 x 5 x 7 x 23
Step 2: Find the prime factorization of 7246
7246 = 2 x 3623
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 7245 and 7246 is 1