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 7463, 7465 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7463 and 7465 is 1.
GCF(7463,7465) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7463
17 | 7463 |
439 | 439 |
1 |
Prime factors of 7463 are 17,439. Prime factorization of 7463 in exponential form is:
7463 = 171×4391
Prime Factorization of 7465
5 | 7465 |
1493 | 1493 |
1 |
Prime factors of 7465 are 5,1493. Prime factorization of 7465 in exponential form is:
7465 = 51×14931
∴ So by taking common prime factors GCF of 7463 and 7465 is 1
Factors of 7463
List of positive integer factors of 7463 that divides 7463 without a remainder.
1,17,439,7463
Factors of 7465
List of positive integer factors of 7465 that divides 7465 without a remainder.
1,5,1493,7465
Greatest Common Factor
We found the factors and prime factorization of 7463 and 7465. The biggest common factor number is the GCF number.
So the greatest common factor 7463 and 7465 is 1.
Also check out the Least Common Multiple of 7463 and 7465
(i) The GCF of 7463 and 7465 is associative
GCF of 7463 and 7465 = GCF of 7465 and 7463
1. What is the GCF of 7463 and 7465?
Answer: GCF of 7463 and 7465 is 1.
2. What are the Factors of 7463?
Answer: Factors of 7463 are 1, 17, 439, 7463. There are 4 integers that are factors of 7463. The greatest factor of 7463 is 7463.
3. What are the Factors of 7465?
Answer: Factors of 7465 are 1, 5, 1493, 7465. There are 4 integers that are factors of 7465. The greatest factor of 7465 is 7465.
4. How to Find the GCF of 7463 and 7465?
Answer:
Greatest Common Factor of 7463 and 7465 = 1
Step 1: Find the prime factorization of 7463
7463 = 17 x 439
Step 2: Find the prime factorization of 7465
7465 = 5 x 1493
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 7463 and 7465 is 1