Greatest Common Factor of 2562 and 2565

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 2562, 2565 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2562 and 2565 is 3.

GCF(2562,2565) = 3

GCF of 2562 and 2565

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

GCF of:
and

Greatest Common Factor of 2562 and 2565

GCF of 2562 and 2565 is 3

Prime Factorization of 2562


2 2562
3 1281
7 427
61 61
1

Prime factors of 2562 are 2,3,7,61. Prime factorization of 2562 in exponential form is:

2562 = 21×31×71×611

Prime Factorization of 2565


3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 2565 are 3,5,19. Prime factorization of 2565 in exponential form is:

2565 = 33×51×191

∴ So by taking common prime factors GCF of 2562 and 2565 is 3

Greatest Common Factor of 2562 and 2565 by matching factors method

Factors of 2562

List of positive integer factors of 2562 that divides 2562 without a remainder.

1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562

Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565

Greatest Common Factor

We found the factors and prime factorization of 2562 and 2565. The biggest common factor number is the GCF number.
So the greatest common factor 2562 and 2565 is 3.

Also check out the Least Common Multiple of 2562 and 2565

Properties of GCF 2562 and 2565

(i) The GCF of 2562 and 2565 is associative

GCF of 2562 and 2565 = GCF of 2565 and 2562

Related Greatest Common Factor of 2562

Related Greatest Common Factor of 2565

Frequently Asked Questions on GCF of 2562 and 2565

1. What is the GCF of 2562 and 2565?

Answer: GCF of 2562 and 2565 is 3.

2. What are the Factors of 2562?

Answer: Factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562. There are 16 integers that are factors of 2562. The greatest factor of 2562 is 2562.

3. What are the Factors of 2565?

Answer: Factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565. There are 16 integers that are factors of 2565. The greatest factor of 2565 is 2565.

4. How to Find the GCF of 2562 and 2565?

Answer:

Greatest Common Factor of 2562 and 2565 = 3

Step 1: Find the prime factorization of 2562

2562 = 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 2565

2565 = 3 x 3 x 3 x 5 x 19

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 2562 and 2565 is 3