Greatest Common Factor of 2537 and 2544

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 2537, 2544 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2537 and 2544 is 1.

GCF(2537,2544) = 1

GCF of 2537 and 2544

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

GCF of:
and

Greatest Common Factor of 2537 and 2544

GCF of 2537 and 2544 is 1

Prime Factorization of 2537


43 2537
59 59
1

Prime factors of 2537 are 43,59. Prime factorization of 2537 in exponential form is:

2537 = 431×591

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

∴ So by taking common prime factors GCF of 2537 and 2544 is 1

Greatest Common Factor of 2537 and 2544 by matching factors method

Factors of 2537

List of positive integer factors of 2537 that divides 2537 without a remainder.

1,43,59,2537

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

Greatest Common Factor

We found the factors and prime factorization of 2537 and 2544. The biggest common factor number is the GCF number.
So the greatest common factor 2537 and 2544 is 1.

Also check out the Least Common Multiple of 2537 and 2544

Properties of GCF 2537 and 2544

(i) The GCF of 2537 and 2544 is associative

GCF of 2537 and 2544 = GCF of 2544 and 2537

Related Greatest Common Factor of 2537

Related Greatest Common Factor of 2544

Frequently Asked Questions on GCF of 2537 and 2544

1. What is the GCF of 2537 and 2544?

Answer: GCF of 2537 and 2544 is 1.

2. What are the Factors of 2537?

Answer: Factors of 2537 are 1, 43, 59, 2537. There are 4 integers that are factors of 2537. The greatest factor of 2537 is 2537.

3. 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.

4. How to Find the GCF of 2537 and 2544?

Answer:

Greatest Common Factor of 2537 and 2544 = 1

Step 1: Find the prime factorization of 2537

2537 = 43 x 59

Step 2: Find the prime factorization of 2544

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

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 2537 and 2544 is 1