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 4504, 4511 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4504 and 4511 is 1.
GCF(4504,4511) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4504
2 | 4504 |
2 | 2252 |
2 | 1126 |
563 | 563 |
1 |
Prime factors of 4504 are 2,563. Prime factorization of 4504 in exponential form is:
4504 = 23×5631
Prime Factorization of 4511
13 | 4511 |
347 | 347 |
1 |
Prime factors of 4511 are 13,347. Prime factorization of 4511 in exponential form is:
4511 = 131×3471
∴ So by taking common prime factors GCF of 4504 and 4511 is 1
Factors of 4504
List of positive integer factors of 4504 that divides 4504 without a remainder.
1,2,4,8,563,1126,2252,4504
Factors of 4511
List of positive integer factors of 4511 that divides 4511 without a remainder.
1,13,347,4511
Greatest Common Factor
We found the factors and prime factorization of 4504 and 4511. The biggest common factor number is the GCF number.
So the greatest common factor 4504 and 4511 is 1.
Also check out the Least Common Multiple of 4504 and 4511
(i) The GCF of 4504 and 4511 is associative
GCF of 4504 and 4511 = GCF of 4511 and 4504
1. What is the GCF of 4504 and 4511?
Answer: GCF of 4504 and 4511 is 1.
2. What are the Factors of 4504?
Answer: Factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504. There are 8 integers that are factors of 4504. The greatest factor of 4504 is 4504.
3. What are the Factors of 4511?
Answer: Factors of 4511 are 1, 13, 347, 4511. There are 4 integers that are factors of 4511. The greatest factor of 4511 is 4511.
4. How to Find the GCF of 4504 and 4511?
Answer:
Greatest Common Factor of 4504 and 4511 = 1
Step 1: Find the prime factorization of 4504
4504 = 2 x 2 x 2 x 563
Step 2: Find the prime factorization of 4511
4511 = 13 x 347
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 4504 and 4511 is 1