Greatest Common Factor of 2544 and 2549

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 2544, 2549 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2544 and 2549 is 1.

GCF(2544,2549) = 1

GCF of 2544 and 2549

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

GCF of:
and

Greatest Common Factor of 2544 and 2549

GCF of 2544 and 2549 is 1

Prime Factorization of 2544


2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 2544 are 2,3,53. Prime factorization of 2544 in exponential form is:

2544 = 24×31×531

Prime Factorization of 2549


2549 2549
1

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 25491

∴ So by taking common prime factors GCF of 2544 and 2549 is 1

Greatest Common Factor of 2544 and 2549 by matching factors method

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Factors of 2549

List of positive integer factors of 2549 that divides 2549 without a remainder.

1,2549

Greatest Common Factor

We found the factors and prime factorization of 2544 and 2549. The biggest common factor number is the GCF number.
So the greatest common factor 2544 and 2549 is 1.

Also check out the Least Common Multiple of 2544 and 2549

Properties of GCF 2544 and 2549

(i) The GCF of 2544 and 2549 is associative

GCF of 2544 and 2549 = GCF of 2549 and 2544

Related Greatest Common Factor of 2544

Related Greatest Common Factor of 2549

Frequently Asked Questions on GCF of 2544 and 2549

1. What is the GCF of 2544 and 2549?

Answer: GCF of 2544 and 2549 is 1.

2. What are the Factors of 2544?

Answer: Factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544. There are 20 integers that are factors of 2544. The greatest factor of 2544 is 2544.

3. What are the Factors of 2549?

Answer: Factors of 2549 are 1, 2549. There are 2 integers that are factors of 2549. The greatest factor of 2549 is 2549.

4. How to Find the GCF of 2544 and 2549?

Answer:

Greatest Common Factor of 2544 and 2549 = 1

Step 1: Find the prime factorization of 2544

2544 = 2 x 2 x 2 x 2 x 3 x 53

Step 2: Find the prime factorization of 2549

2549 = 2549

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 2544 and 2549 is 1