Greatest Common Factor of 577 and 583

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

Greatest common factor (GCF) of 577 and 583 is 1.

GCF(577,583) = 1

GCF of 577 and 583

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

GCF of:
and

Greatest Common Factor of 577 and 583

GCF of 577 and 583 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 583


11 583
53 53
1

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

583 = 111×531

∴ So by taking common prime factors GCF of 577 and 583 is 1

Greatest Common Factor of 577 and 583 by matching factors method

Factors of 577

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

1,577

Factors of 583

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

1,11,53,583

Greatest Common Factor

We found the factors and prime factorization of 577 and 583. The biggest common factor number is the GCF number.
So the greatest common factor 577 and 583 is 1.

Also check out the Least Common Multiple of 577 and 583

Properties of GCF 577 and 583

(i) The GCF of 577 and 583 is associative

GCF of 577 and 583 = GCF of 583 and 577

Related Greatest Common Factor of 577

Related Greatest Common Factor of 583

Frequently Asked Questions on GCF of 577 and 583

1. What is the GCF of 577 and 583?

Answer: GCF of 577 and 583 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 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.

4. How to Find the GCF of 577 and 583?

Answer:

Greatest Common Factor of 577 and 583 = 1

Step 1: Find the prime factorization of 577

577 = 577

Step 2: Find the prime factorization of 583

583 = 11 x 53

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 583 is 1