Greatest Common Factor of 2544 and 2548

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, 2548 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2544 and 2548 is 4.

GCF(2544,2548) = 4

GCF of 2544 and 2548

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

GCF of:
and

Greatest Common Factor of 2544 and 2548

GCF of 2544 and 2548 is 4

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 2548


2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 2548 are 2,7,13. Prime factorization of 2548 in exponential form is:

2548 = 22×72×131

∴ So by taking common prime factors GCF of 2544 and 2548 is 4

Greatest Common Factor of 2544 and 2548 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 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Greatest Common Factor

We found the factors and prime factorization of 2544 and 2548. The biggest common factor number is the GCF number.
So the greatest common factor 2544 and 2548 is 4.

Also check out the Least Common Multiple of 2544 and 2548

Properties of GCF 2544 and 2548

(i) The GCF of 2544 and 2548 is associative

GCF of 2544 and 2548 = GCF of 2548 and 2544

Related Greatest Common Factor of 2544

Related Greatest Common Factor of 2548

Frequently Asked Questions on GCF of 2544 and 2548

1. What is the GCF of 2544 and 2548?

Answer: GCF of 2544 and 2548 is 4.

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 2548?

Answer: Factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548. There are 18 integers that are factors of 2548. The greatest factor of 2548 is 2548.

4. How to Find the GCF of 2544 and 2548?

Answer:

Greatest Common Factor of 2544 and 2548 = 4

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 2548

2548 = 2 x 2 x 7 x 7 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2544 and 2548 is 4