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 7456, 7463 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7456 and 7463 is 1.
GCF(7456,7463) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7456
2 | 7456 |
2 | 3728 |
2 | 1864 |
2 | 932 |
2 | 466 |
233 | 233 |
1 |
Prime factors of 7456 are 2,233. Prime factorization of 7456 in exponential form is:
7456 = 25×2331
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
∴ So by taking common prime factors GCF of 7456 and 7463 is 1
Factors of 7456
List of positive integer factors of 7456 that divides 7456 without a remainder.
1,2,4,8,16,32,233,466,932,1864,3728,7456
Factors of 7463
List of positive integer factors of 7463 that divides 7463 without a remainder.
1,17,439,7463
Greatest Common Factor
We found the factors and prime factorization of 7456 and 7463. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7463 is 1.
Also check out the Least Common Multiple of 7456 and 7463
(i) The GCF of 7456 and 7463 is associative
GCF of 7456 and 7463 = GCF of 7463 and 7456
1. What is the GCF of 7456 and 7463?
Answer: GCF of 7456 and 7463 is 1.
2. What are the Factors of 7456?
Answer: Factors of 7456 are 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456. There are 12 integers that are factors of 7456. The greatest factor of 7456 is 7456.
3. 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.
4. How to Find the GCF of 7456 and 7463?
Answer:
Greatest Common Factor of 7456 and 7463 = 1
Step 1: Find the prime factorization of 7456
7456 = 2 x 2 x 2 x 2 x 2 x 233
Step 2: Find the prime factorization of 7463
7463 = 17 x 439
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 7456 and 7463 is 1