Greatest Common Factor of 2547 and 2553

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 2547, 2553 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2547 and 2553 is 3.

GCF(2547,2553) = 3

GCF of 2547 and 2553

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

GCF of:
and

Greatest Common Factor of 2547 and 2553

GCF of 2547 and 2553 is 3

Prime Factorization of 2547


3 2547
3 849
283 283
1

Prime factors of 2547 are 3,283. Prime factorization of 2547 in exponential form is:

2547 = 32×2831

Prime Factorization of 2553


3 2553
23 851
37 37
1

Prime factors of 2553 are 3,23,37. Prime factorization of 2553 in exponential form is:

2553 = 31×231×371

∴ So by taking common prime factors GCF of 2547 and 2553 is 3

Greatest Common Factor of 2547 and 2553 by matching factors method

Factors of 2547

List of positive integer factors of 2547 that divides 2547 without a remainder.

1,3,9,283,849,2547

Factors of 2553

List of positive integer factors of 2553 that divides 2553 without a remainder.

1,3,23,37,69,111,851,2553

Greatest Common Factor

We found the factors and prime factorization of 2547 and 2553. The biggest common factor number is the GCF number.
So the greatest common factor 2547 and 2553 is 3.

Also check out the Least Common Multiple of 2547 and 2553

Properties of GCF 2547 and 2553

(i) The GCF of 2547 and 2553 is associative

GCF of 2547 and 2553 = GCF of 2553 and 2547

Related Greatest Common Factor of 2547

Related Greatest Common Factor of 2553

Frequently Asked Questions on GCF of 2547 and 2553

1. What is the GCF of 2547 and 2553?

Answer: GCF of 2547 and 2553 is 3.

2. What are the Factors of 2547?

Answer: Factors of 2547 are 1, 3, 9, 283, 849, 2547. There are 6 integers that are factors of 2547. The greatest factor of 2547 is 2547.

3. What are the Factors of 2553?

Answer: Factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553. There are 8 integers that are factors of 2553. The greatest factor of 2553 is 2553.

4. How to Find the GCF of 2547 and 2553?

Answer:

Greatest Common Factor of 2547 and 2553 = 3

Step 1: Find the prime factorization of 2547

2547 = 3 x 3 x 283

Step 2: Find the prime factorization of 2553

2553 = 3 x 23 x 37

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 2547 and 2553 is 3