Greatest Common Factor of 2460 and 2465

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 2460, 2465 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2460 and 2465 is 5.

GCF(2460,2465) = 5

GCF of 2460 and 2465

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

GCF of:
and

Greatest Common Factor of 2460 and 2465

GCF of 2460 and 2465 is 5

Prime Factorization of 2460


2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 2460 are 2,3,5,41. Prime factorization of 2460 in exponential form is:

2460 = 22×31×51×411

Prime Factorization of 2465


5 2465
17 493
29 29
1

Prime factors of 2465 are 5,17,29. Prime factorization of 2465 in exponential form is:

2465 = 51×171×291

∴ So by taking common prime factors GCF of 2460 and 2465 is 5

Greatest Common Factor of 2460 and 2465 by matching factors method

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1,5,17,29,85,145,493,2465

Greatest Common Factor

We found the factors and prime factorization of 2460 and 2465. The biggest common factor number is the GCF number.
So the greatest common factor 2460 and 2465 is 5.

Also check out the Least Common Multiple of 2460 and 2465

Properties of GCF 2460 and 2465

(i) The GCF of 2460 and 2465 is associative

GCF of 2460 and 2465 = GCF of 2465 and 2460

Related Greatest Common Factor of 2460

Related Greatest Common Factor of 2465

Frequently Asked Questions on GCF of 2460 and 2465

1. What is the GCF of 2460 and 2465?

Answer: GCF of 2460 and 2465 is 5.

2. What are the Factors of 2460?

Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.

3. What are the Factors of 2465?

Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.

4. How to Find the GCF of 2460 and 2465?

Answer:

Greatest Common Factor of 2460 and 2465 = 5

Step 1: Find the prime factorization of 2460

2460 = 2 x 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 2465

2465 = 5 x 17 x 29

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 2460 and 2465 is 5