Greatest Common Factor of 7580 and 7584

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, 7584 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7580 and 7584 is 4.

GCF(7580,7584) = 4

GCF of 7580 and 7584

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7580 and 7584

GCF of 7580 and 7584 is 4

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 7584


2 7584
2 3792
2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 7584 are 2,3,79. Prime factorization of 7584 in exponential form is:

7584 = 25×31×791

∴ So by taking common prime factors GCF of 7580 and 7584 is 4

Greatest Common Factor of 7580 and 7584 by matching factors method

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 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors and prime factorization of 7580 and 7584. The biggest common factor number is the GCF number.
So the greatest common factor 7580 and 7584 is 4.

Also check out the Least Common Multiple of 7580 and 7584

Properties of GCF 7580 and 7584

(i) The GCF of 7580 and 7584 is associative

GCF of 7580 and 7584 = GCF of 7584 and 7580

Related Greatest Common Factor of 7580

Related Greatest Common Factor of 7584

Frequently Asked Questions on GCF of 7580 and 7584

1. What is the GCF of 7580 and 7584?

Answer: GCF of 7580 and 7584 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 7584?

Answer: Factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584. There are 24 integers that are factors of 7584. The greatest factor of 7584 is 7584.

4. How to Find the GCF of 7580 and 7584?

Answer:

Greatest Common Factor of 7580 and 7584 = 4

Step 1: Find the prime factorization of 7580

7580 = 2 x 2 x 5 x 379

Step 2: Find the prime factorization of 7584

7584 = 2 x 2 x 2 x 2 x 2 x 3 x 79

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 7584 is 4