Greatest Common Factor of 2642 and 2648

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 2642, 2648 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2642 and 2648 is 2.

GCF(2642,2648) = 2

GCF of 2642 and 2648

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

GCF of:
and

Greatest Common Factor of 2642 and 2648

GCF of 2642 and 2648 is 2

Prime Factorization of 2642


2 2642
1321 1321
1

Prime factors of 2642 are 2,1321. Prime factorization of 2642 in exponential form is:

2642 = 21×13211

Prime Factorization of 2648


2 2648
2 1324
2 662
331 331
1

Prime factors of 2648 are 2,331. Prime factorization of 2648 in exponential form is:

2648 = 23×3311

∴ So by taking common prime factors GCF of 2642 and 2648 is 2

Greatest Common Factor of 2642 and 2648 by matching factors method

Factors of 2642

List of positive integer factors of 2642 that divides 2642 without a remainder.

1,2,1321,2642

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1,2,4,8,331,662,1324,2648

Greatest Common Factor

We found the factors and prime factorization of 2642 and 2648. The biggest common factor number is the GCF number.
So the greatest common factor 2642 and 2648 is 2.

Also check out the Least Common Multiple of 2642 and 2648

Properties of GCF 2642 and 2648

(i) The GCF of 2642 and 2648 is associative

GCF of 2642 and 2648 = GCF of 2648 and 2642

Related Greatest Common Factor of 2642

Related Greatest Common Factor of 2648

Frequently Asked Questions on GCF of 2642 and 2648

1. What is the GCF of 2642 and 2648?

Answer: GCF of 2642 and 2648 is 2.

2. What are the Factors of 2642?

Answer: Factors of 2642 are 1, 2, 1321, 2642. There are 4 integers that are factors of 2642. The greatest factor of 2642 is 2642.

3. What are the Factors of 2648?

Answer: Factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648. There are 8 integers that are factors of 2648. The greatest factor of 2648 is 2648.

4. How to Find the GCF of 2642 and 2648?

Answer:

Greatest Common Factor of 2642 and 2648 = 2

Step 1: Find the prime factorization of 2642

2642 = 2 x 1321

Step 2: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2642 and 2648 is 2