Greatest Common Factor of 7584 and 7588

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 7584, 7588 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7584 and 7588 is 4.

GCF(7584,7588) = 4

GCF of 7584 and 7588

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

GCF of:
and

Greatest Common Factor of 7584 and 7588

GCF of 7584 and 7588 is 4

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

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 7584 and 7588 is 4

Greatest Common Factor of 7584 and 7588 by matching factors method

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

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 7584 and 7588. The biggest common factor number is the GCF number.
So the greatest common factor 7584 and 7588 is 4.

Also check out the Least Common Multiple of 7584 and 7588

Properties of GCF 7584 and 7588

(i) The GCF of 7584 and 7588 is associative

GCF of 7584 and 7588 = GCF of 7588 and 7584

Related Greatest Common Factor of 7584

Related Greatest Common Factor of 7588

Frequently Asked Questions on GCF of 7584 and 7588

1. What is the GCF of 7584 and 7588?

Answer: GCF of 7584 and 7588 is 4.

2. 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.

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 7584 and 7588?

Answer:

Greatest Common Factor of 7584 and 7588 = 4

Step 1: Find the prime factorization of 7584

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

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 7584 and 7588 is 4