Greatest Common Factor of 2475 and 2481

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 2475, 2481 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2475 and 2481 is 3.

GCF(2475,2481) = 3

GCF of 2475 and 2481

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

GCF of:
and

Greatest Common Factor of 2475 and 2481

GCF of 2475 and 2481 is 3

Prime Factorization of 2475


3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 2475 are 3,5,11. Prime factorization of 2475 in exponential form is:

2475 = 32×52×111

Prime Factorization of 2481


3 2481
827 827
1

Prime factors of 2481 are 3,827. Prime factorization of 2481 in exponential form is:

2481 = 31×8271

∴ So by taking common prime factors GCF of 2475 and 2481 is 3

Greatest Common Factor of 2475 and 2481 by matching factors method

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Factors of 2481

List of positive integer factors of 2481 that divides 2481 without a remainder.

1,3,827,2481

Greatest Common Factor

We found the factors and prime factorization of 2475 and 2481. The biggest common factor number is the GCF number.
So the greatest common factor 2475 and 2481 is 3.

Also check out the Least Common Multiple of 2475 and 2481

Properties of GCF 2475 and 2481

(i) The GCF of 2475 and 2481 is associative

GCF of 2475 and 2481 = GCF of 2481 and 2475

Related Greatest Common Factor of 2475

Related Greatest Common Factor of 2481

Frequently Asked Questions on GCF of 2475 and 2481

1. What is the GCF of 2475 and 2481?

Answer: GCF of 2475 and 2481 is 3.

2. What are the Factors of 2475?

Answer: Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. There are 18 integers that are factors of 2475. The greatest factor of 2475 is 2475.

3. What are the Factors of 2481?

Answer: Factors of 2481 are 1, 3, 827, 2481. There are 4 integers that are factors of 2481. The greatest factor of 2481 is 2481.

4. How to Find the GCF of 2475 and 2481?

Answer:

Greatest Common Factor of 2475 and 2481 = 3

Step 1: Find the prime factorization of 2475

2475 = 3 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 2481

2481 = 3 x 827

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2475 and 2481 is 3