Greatest Common Factor of 2544 and 2550

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, 2550 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2544 and 2550 is 6.

GCF(2544,2550) = 6

GCF of 2544 and 2550

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

GCF of:
and

Greatest Common Factor of 2544 and 2550

GCF of 2544 and 2550 is 6

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 2550


2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 2550 are 2,3,5,17. Prime factorization of 2550 in exponential form is:

2550 = 21×31×52×171

∴ So by taking common prime factors GCF of 2544 and 2550 is 6

Greatest Common Factor of 2544 and 2550 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 2550

List of positive integer factors of 2550 that divides 2550 without a remainder.

1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550

Greatest Common Factor

We found the factors and prime factorization of 2544 and 2550. The biggest common factor number is the GCF number.
So the greatest common factor 2544 and 2550 is 6.

Also check out the Least Common Multiple of 2544 and 2550

Properties of GCF 2544 and 2550

(i) The GCF of 2544 and 2550 is associative

GCF of 2544 and 2550 = GCF of 2550 and 2544

Related Greatest Common Factor of 2544

Related Greatest Common Factor of 2550

Frequently Asked Questions on GCF of 2544 and 2550

1. What is the GCF of 2544 and 2550?

Answer: GCF of 2544 and 2550 is 6.

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 2550?

Answer: Factors of 2550 are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550. There are 24 integers that are factors of 2550. The greatest factor of 2550 is 2550.

4. How to Find the GCF of 2544 and 2550?

Answer:

Greatest Common Factor of 2544 and 2550 = 6

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 2550

2550 = 2 x 3 x 5 x 5 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2544 and 2550 is 6