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 4585, 4588 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4585 and 4588 is 1.
GCF(4585,4588) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4585
5 | 4585 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 4585 are 5,7,131. Prime factorization of 4585 in exponential form is:
4585 = 51×71×1311
Prime Factorization of 4588
2 | 4588 |
2 | 2294 |
31 | 1147 |
37 | 37 |
1 |
Prime factors of 4588 are 2,31,37. Prime factorization of 4588 in exponential form is:
4588 = 22×311×371
∴ So by taking common prime factors GCF of 4585 and 4588 is 1
Factors of 4585
List of positive integer factors of 4585 that divides 4585 without a remainder.
1,5,7,35,131,655,917,4585
Factors of 4588
List of positive integer factors of 4588 that divides 4588 without a remainder.
1,2,4,31,37,62,74,124,148,1147,2294,4588
Greatest Common Factor
We found the factors and prime factorization of 4585 and 4588. The biggest common factor number is the GCF number.
So the greatest common factor 4585 and 4588 is 1.
Also check out the Least Common Multiple of 4585 and 4588
(i) The GCF of 4585 and 4588 is associative
GCF of 4585 and 4588 = GCF of 4588 and 4585
1. What is the GCF of 4585 and 4588?
Answer: GCF of 4585 and 4588 is 1.
2. What are the Factors of 4585?
Answer: Factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585. There are 8 integers that are factors of 4585. The greatest factor of 4585 is 4585.
3. What are the Factors of 4588?
Answer: Factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588. There are 12 integers that are factors of 4588. The greatest factor of 4588 is 4588.
4. How to Find the GCF of 4585 and 4588?
Answer:
Greatest Common Factor of 4585 and 4588 = 1
Step 1: Find the prime factorization of 4585
4585 = 5 x 7 x 131
Step 2: Find the prime factorization of 4588
4588 = 2 x 2 x 31 x 37
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 4585 and 4588 is 1