Greatest Common Factor of 2440 and 2445

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 2440, 2445 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2440 and 2445 is 5.

GCF(2440,2445) = 5

GCF of 2440 and 2445

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

GCF of:
and

Greatest Common Factor of 2440 and 2445

GCF of 2440 and 2445 is 5

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

Prime Factorization of 2445


3 2445
5 815
163 163
1

Prime factors of 2445 are 3,5,163. Prime factorization of 2445 in exponential form is:

2445 = 31×51×1631

∴ So by taking common prime factors GCF of 2440 and 2445 is 5

Greatest Common Factor of 2440 and 2445 by matching factors method

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

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1,3,5,15,163,489,815,2445

Greatest Common Factor

We found the factors and prime factorization of 2440 and 2445. The biggest common factor number is the GCF number.
So the greatest common factor 2440 and 2445 is 5.

Also check out the Least Common Multiple of 2440 and 2445

Properties of GCF 2440 and 2445

(i) The GCF of 2440 and 2445 is associative

GCF of 2440 and 2445 = GCF of 2445 and 2440

Related Greatest Common Factor of 2440

Related Greatest Common Factor of 2445

Frequently Asked Questions on GCF of 2440 and 2445

1. What is the GCF of 2440 and 2445?

Answer: GCF of 2440 and 2445 is 5.

2. 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.

3. What are the Factors of 2445?

Answer: Factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445. There are 8 integers that are factors of 2445. The greatest factor of 2445 is 2445.

4. How to Find the GCF of 2440 and 2445?

Answer:

Greatest Common Factor of 2440 and 2445 = 5

Step 1: Find the prime factorization of 2440

2440 = 2 x 2 x 2 x 5 x 61

Step 2: Find the prime factorization of 2445

2445 = 3 x 5 x 163

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2440 and 2445 is 5