Greatest Common Factor of 577 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 577, 584 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 577 and 584 is 1.

GCF(577,584) = 1

GCF of 577 and 584

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

GCF of:
and

Greatest Common Factor of 577 and 584

GCF of 577 and 584 is 1

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

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

584 = 23×731

∴ So by taking common prime factors GCF of 577 and 584 is 1

Greatest Common Factor of 577 and 584 by matching factors method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

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 577 and 584. The biggest common factor number is the GCF number.
So the greatest common factor 577 and 584 is 1.

Also check out the Least Common Multiple of 577 and 584

Properties of GCF 577 and 584

(i) The GCF of 577 and 584 is associative

GCF of 577 and 584 = GCF of 584 and 577

Related Greatest Common Factor of 577

Related Greatest Common Factor of 584

Frequently Asked Questions on GCF of 577 and 584

1. What is the GCF of 577 and 584?

Answer: GCF of 577 and 584 is 1.

2. What are the Factors of 577?

Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.

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 577 and 584?

Answer:

Greatest Common Factor of 577 and 584 = 1

Step 1: Find the prime factorization of 577

577 = 577

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 577 and 584 is 1