Greatest Common Factor of 2577 and 2583

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 2577, 2583 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2577 and 2583 is 3.

GCF(2577,2583) = 3

GCF of 2577 and 2583

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

GCF of:
and

Greatest Common Factor of 2577 and 2583

GCF of 2577 and 2583 is 3

Prime Factorization of 2577


3 2577
859 859
1

Prime factors of 2577 are 3,859. Prime factorization of 2577 in exponential form is:

2577 = 31×8591

Prime Factorization of 2583


3 2583
3 861
7 287
41 41
1

Prime factors of 2583 are 3,7,41. Prime factorization of 2583 in exponential form is:

2583 = 32×71×411

∴ So by taking common prime factors GCF of 2577 and 2583 is 3

Greatest Common Factor of 2577 and 2583 by matching factors method

Factors of 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1,3,859,2577

Factors of 2583

List of positive integer factors of 2583 that divides 2583 without a remainder.

1,3,7,9,21,41,63,123,287,369,861,2583

Greatest Common Factor

We found the factors and prime factorization of 2577 and 2583. The biggest common factor number is the GCF number.
So the greatest common factor 2577 and 2583 is 3.

Also check out the Least Common Multiple of 2577 and 2583

Properties of GCF 2577 and 2583

(i) The GCF of 2577 and 2583 is associative

GCF of 2577 and 2583 = GCF of 2583 and 2577

Related Greatest Common Factor of 2577

Related Greatest Common Factor of 2583

Frequently Asked Questions on GCF of 2577 and 2583

1. What is the GCF of 2577 and 2583?

Answer: GCF of 2577 and 2583 is 3.

2. What are the Factors of 2577?

Answer: Factors of 2577 are 1, 3, 859, 2577. There are 4 integers that are factors of 2577. The greatest factor of 2577 is 2577.

3. What are the Factors of 2583?

Answer: Factors of 2583 are 1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583. There are 12 integers that are factors of 2583. The greatest factor of 2583 is 2583.

4. How to Find the GCF of 2577 and 2583?

Answer:

Greatest Common Factor of 2577 and 2583 = 3

Step 1: Find the prime factorization of 2577

2577 = 3 x 859

Step 2: Find the prime factorization of 2583

2583 = 3 x 3 x 7 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 2577 and 2583 is 3