Greatest Common Factor of 2475 and 2482

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, 2482 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2475 and 2482 is 1.

GCF(2475,2482) = 1

GCF of 2475 and 2482

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

GCF of:
and

Greatest Common Factor of 2475 and 2482

GCF of 2475 and 2482 is 1

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 2482


2 2482
17 1241
73 73
1

Prime factors of 2482 are 2,17,73. Prime factorization of 2482 in exponential form is:

2482 = 21×171×731

∴ So by taking common prime factors GCF of 2475 and 2482 is 1

Greatest Common Factor of 2475 and 2482 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 2482

List of positive integer factors of 2482 that divides 2482 without a remainder.

1,2,17,34,73,146,1241,2482

Greatest Common Factor

We found the factors and prime factorization of 2475 and 2482. The biggest common factor number is the GCF number.
So the greatest common factor 2475 and 2482 is 1.

Also check out the Least Common Multiple of 2475 and 2482

Properties of GCF 2475 and 2482

(i) The GCF of 2475 and 2482 is associative

GCF of 2475 and 2482 = GCF of 2482 and 2475

Frequently Asked Questions on GCF of 2475 and 2482

1. What is the GCF of 2475 and 2482?

Answer: GCF of 2475 and 2482 is 1.

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 2482?

Answer: Factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482. There are 8 integers that are factors of 2482. The greatest factor of 2482 is 2482.

4. How to Find the GCF of 2475 and 2482?

Answer:

Greatest Common Factor of 2475 and 2482 = 1

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 2482

2482 = 2 x 17 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2475 and 2482 is 1