Greatest Common Factor of 2432 and 2440

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 2432, 2440 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2432 and 2440 is 8.

GCF(2432,2440) = 8

GCF of 2432 and 2440

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

GCF of:
and

Greatest Common Factor of 2432 and 2440

GCF of 2432 and 2440 is 8

Prime Factorization of 2432


2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:

2432 = 27×191

Prime Factorization of 2440


2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 2440 are 2,5,61. Prime factorization of 2440 in exponential form is:

2440 = 23×51×611

∴ So by taking common prime factors GCF of 2432 and 2440 is 8

Greatest Common Factor of 2432 and 2440 by matching factors method

Factors of 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Greatest Common Factor

We found the factors and prime factorization of 2432 and 2440. The biggest common factor number is the GCF number.
So the greatest common factor 2432 and 2440 is 8.

Also check out the Least Common Multiple of 2432 and 2440

Properties of GCF 2432 and 2440

(i) The GCF of 2432 and 2440 is associative

GCF of 2432 and 2440 = GCF of 2440 and 2432

Related Greatest Common Factor of 2432

Related Greatest Common Factor of 2440

Frequently Asked Questions on GCF of 2432 and 2440

1. What is the GCF of 2432 and 2440?

Answer: GCF of 2432 and 2440 is 8.

2. What are the Factors of 2432?

Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.

3. What are the Factors of 2440?

Answer: Factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440. There are 16 integers that are factors of 2440. The greatest factor of 2440 is 2440.

4. How to Find the GCF of 2432 and 2440?

Answer:

Greatest Common Factor of 2432 and 2440 = 8

Step 1: Find the prime factorization of 2432

2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 2440

2440 = 2 x 2 x 2 x 5 x 61

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2432 and 2440 is 8