Greatest Common Factor of 2562 and 2569

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, 2569 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2562 and 2569 is 7.

GCF(2562,2569) = 7

GCF of 2562 and 2569

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

GCF of:
and

Greatest Common Factor of 2562 and 2569

GCF of 2562 and 2569 is 7

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 2569


7 2569
367 367
1

Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:

2569 = 71×3671

∴ So by taking common prime factors GCF of 2562 and 2569 is 7

Greatest Common Factor of 2562 and 2569 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 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1,7,367,2569

Greatest Common Factor

We found the factors and prime factorization of 2562 and 2569. The biggest common factor number is the GCF number.
So the greatest common factor 2562 and 2569 is 7.

Also check out the Least Common Multiple of 2562 and 2569

Properties of GCF 2562 and 2569

(i) The GCF of 2562 and 2569 is associative

GCF of 2562 and 2569 = GCF of 2569 and 2562

Related Greatest Common Factor of 2562

Related Greatest Common Factor of 2569

Frequently Asked Questions on GCF of 2562 and 2569

1. What is the GCF of 2562 and 2569?

Answer: GCF of 2562 and 2569 is 7.

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 2569?

Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.

4. How to Find the GCF of 2562 and 2569?

Answer:

Greatest Common Factor of 2562 and 2569 = 7

Step 1: Find the prime factorization of 2562

2562 = 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 2569

2569 = 7 x 367

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2562 and 2569 is 7