Greatest Common Factor of 2474 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 2474, 2482 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2474 and 2482 is 2.

GCF(2474,2482) = 2

GCF of 2474 and 2482

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

GCF of:
and

Greatest Common Factor of 2474 and 2482

GCF of 2474 and 2482 is 2

Prime Factorization of 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

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 2474 and 2482 is 2

Greatest Common Factor of 2474 and 2482 by matching factors method

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1,2,1237,2474

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 2474 and 2482. The biggest common factor number is the GCF number.
So the greatest common factor 2474 and 2482 is 2.

Also check out the Least Common Multiple of 2474 and 2482

Properties of GCF 2474 and 2482

(i) The GCF of 2474 and 2482 is associative

GCF of 2474 and 2482 = GCF of 2482 and 2474

Related Greatest Common Factor of 2474

Related Greatest Common Factor of 2482

Frequently Asked Questions on GCF of 2474 and 2482

1. What is the GCF of 2474 and 2482?

Answer: GCF of 2474 and 2482 is 2.

2. What are the Factors of 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

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 2474 and 2482?

Answer:

Greatest Common Factor of 2474 and 2482 = 2

Step 1: Find the prime factorization of 2474

2474 = 2 x 1237

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 = 2

Step 4: Therefore, the greatest common factor of 2474 and 2482 is 2