Greatest Common Factor of 8584 and 8588

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 8584, 8588 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8584 and 8588 is 4.

GCF(8584,8588) = 4

GCF of 8584 and 8588

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

GCF of:
and

Greatest Common Factor of 8584 and 8588

GCF of 8584 and 8588 is 4

Prime Factorization of 8584


2 8584
2 4292
2 2146
29 1073
37 37
1

Prime factors of 8584 are 2,29,37. Prime factorization of 8584 in exponential form is:

8584 = 23×291×371

Prime Factorization of 8588


2 8588
2 4294
19 2147
113 113
1

Prime factors of 8588 are 2,19,113. Prime factorization of 8588 in exponential form is:

8588 = 22×191×1131

∴ So by taking common prime factors GCF of 8584 and 8588 is 4

Greatest Common Factor of 8584 and 8588 by matching factors method

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Factors of 8588

List of positive integer factors of 8588 that divides 8588 without a remainder.

1,2,4,19,38,76,113,226,452,2147,4294,8588

Greatest Common Factor

We found the factors and prime factorization of 8584 and 8588. The biggest common factor number is the GCF number.
So the greatest common factor 8584 and 8588 is 4.

Also check out the Least Common Multiple of 8584 and 8588

Properties of GCF 8584 and 8588

(i) The GCF of 8584 and 8588 is associative

GCF of 8584 and 8588 = GCF of 8588 and 8584

Related Greatest Common Factor of 8584

Related Greatest Common Factor of 8588

Frequently Asked Questions on GCF of 8584 and 8588

1. What is the GCF of 8584 and 8588?

Answer: GCF of 8584 and 8588 is 4.

2. What are the Factors of 8584?

Answer: Factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584. There are 16 integers that are factors of 8584. The greatest factor of 8584 is 8584.

3. What are the Factors of 8588?

Answer: Factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588. There are 12 integers that are factors of 8588. The greatest factor of 8588 is 8588.

4. How to Find the GCF of 8584 and 8588?

Answer:

Greatest Common Factor of 8584 and 8588 = 4

Step 1: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

Step 2: Find the prime factorization of 8588

8588 = 2 x 2 x 19 x 113

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 8584 and 8588 is 4