Greatest Common Factor of 2648 and 2652

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 2648, 2652 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2648 and 2652 is 4.

GCF(2648,2652) = 4

GCF of 2648 and 2652

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

GCF of:
and

Greatest Common Factor of 2648 and 2652

GCF of 2648 and 2652 is 4

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

Prime Factorization of 2652


2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 2652 are 2,3,13,17. Prime factorization of 2652 in exponential form is:

2652 = 22×31×131×171

∴ So by taking common prime factors GCF of 2648 and 2652 is 4

Greatest Common Factor of 2648 and 2652 by matching factors method

Factors of 2648

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

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

Factors of 2652

List of positive integer factors of 2652 that divides 2652 without a remainder.

1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652

Greatest Common Factor

We found the factors and prime factorization of 2648 and 2652. The biggest common factor number is the GCF number.
So the greatest common factor 2648 and 2652 is 4.

Also check out the Least Common Multiple of 2648 and 2652

Properties of GCF 2648 and 2652

(i) The GCF of 2648 and 2652 is associative

GCF of 2648 and 2652 = GCF of 2652 and 2648

Related Greatest Common Factor of 2648

Related Greatest Common Factor of 2652

Frequently Asked Questions on GCF of 2648 and 2652

1. What is the GCF of 2648 and 2652?

Answer: GCF of 2648 and 2652 is 4.

2. 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.

3. What are the Factors of 2652?

Answer: Factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652. There are 24 integers that are factors of 2652. The greatest factor of 2652 is 2652.

4. How to Find the GCF of 2648 and 2652?

Answer:

Greatest Common Factor of 2648 and 2652 = 4

Step 1: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 2652

2652 = 2 x 2 x 3 x 13 x 17

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 2648 and 2652 is 4