Greatest Common Factor of 583 and 584

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 583, 584 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 583 and 584 is 1.

GCF(583,584) = 1

GCF of 583 and 584

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

GCF of:
and

Greatest Common Factor of 583 and 584

GCF of 583 and 584 is 1

Prime Factorization of 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

∴ So by taking common prime factors GCF of 583 and 584 is 1

Greatest Common Factor of 583 and 584 by matching factors method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors and prime factorization of 583 and 584. The biggest common factor number is the GCF number.
So the greatest common factor 583 and 584 is 1.

Also check out the Least Common Multiple of 583 and 584

Properties of GCF 583 and 584

(i) The GCF of 583 and 584 is associative

GCF of 583 and 584 = GCF of 584 and 583

Related Greatest Common Factor of 583

Related Greatest Common Factor of 584

Frequently Asked Questions on GCF of 583 and 584

1. What is the GCF of 583 and 584?

Answer: GCF of 583 and 584 is 1.

2. What are the Factors of 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

3. What are the Factors of 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

4. How to Find the GCF of 583 and 584?

Answer:

Greatest Common Factor of 583 and 584 = 1

Step 1: Find the prime factorization of 583

583 = 11 x 53

Step 2: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

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 583 and 584 is 1