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 7580, 7588 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7580 and 7588 is 4.
GCF(7580,7588) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7580
2 | 7580 |
2 | 3790 |
5 | 1895 |
379 | 379 |
1 |
Prime factors of 7580 are 2,5,379. Prime factorization of 7580 in exponential form is:
7580 = 22×51×3791
Prime Factorization of 7588
2 | 7588 |
2 | 3794 |
7 | 1897 |
271 | 271 |
1 |
Prime factors of 7588 are 2,7,271. Prime factorization of 7588 in exponential form is:
7588 = 22×71×2711
∴ So by taking common prime factors GCF of 7580 and 7588 is 4
Factors of 7580
List of positive integer factors of 7580 that divides 7580 without a remainder.
1,2,4,5,10,20,379,758,1516,1895,3790,7580
Factors of 7588
List of positive integer factors of 7588 that divides 7588 without a remainder.
1,2,4,7,14,28,271,542,1084,1897,3794,7588
Greatest Common Factor
We found the factors and prime factorization of 7580 and 7588. The biggest common factor number is the GCF number.
So the greatest common factor 7580 and 7588 is 4.
Also check out the Least Common Multiple of 7580 and 7588
(i) The GCF of 7580 and 7588 is associative
GCF of 7580 and 7588 = GCF of 7588 and 7580
1. What is the GCF of 7580 and 7588?
Answer: GCF of 7580 and 7588 is 4.
2. What are the Factors of 7580?
Answer: Factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580. There are 12 integers that are factors of 7580. The greatest factor of 7580 is 7580.
3. What are the Factors of 7588?
Answer: Factors of 7588 are 1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588. There are 12 integers that are factors of 7588. The greatest factor of 7588 is 7588.
4. How to Find the GCF of 7580 and 7588?
Answer:
Greatest Common Factor of 7580 and 7588 = 4
Step 1: Find the prime factorization of 7580
7580 = 2 x 2 x 5 x 379
Step 2: Find the prime factorization of 7588
7588 = 2 x 2 x 7 x 271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 7580 and 7588 is 4