Greatest Common Factor of 2482 and 2488

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 2482, 2488 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2482 and 2488 is 2.

GCF(2482,2488) = 2

GCF of 2482 and 2488

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

GCF of:
and

Greatest Common Factor of 2482 and 2488

GCF of 2482 and 2488 is 2

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

Prime Factorization of 2488


2 2488
2 1244
2 622
311 311
1

Prime factors of 2488 are 2,311. Prime factorization of 2488 in exponential form is:

2488 = 23×3111

∴ So by taking common prime factors GCF of 2482 and 2488 is 2

Greatest Common Factor of 2482 and 2488 by matching factors method

Factors of 2482

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

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

Factors of 2488

List of positive integer factors of 2488 that divides 2488 without a remainder.

1,2,4,8,311,622,1244,2488

Greatest Common Factor

We found the factors and prime factorization of 2482 and 2488. The biggest common factor number is the GCF number.
So the greatest common factor 2482 and 2488 is 2.

Also check out the Least Common Multiple of 2482 and 2488

Properties of GCF 2482 and 2488

(i) The GCF of 2482 and 2488 is associative

GCF of 2482 and 2488 = GCF of 2488 and 2482

Frequently Asked Questions on GCF of 2482 and 2488

1. What is the GCF of 2482 and 2488?

Answer: GCF of 2482 and 2488 is 2.

2. 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.

3. What are the Factors of 2488?

Answer: Factors of 2488 are 1, 2, 4, 8, 311, 622, 1244, 2488. There are 8 integers that are factors of 2488. The greatest factor of 2488 is 2488.

4. How to Find the GCF of 2482 and 2488?

Answer:

Greatest Common Factor of 2482 and 2488 = 2

Step 1: Find the prime factorization of 2482

2482 = 2 x 17 x 73

Step 2: Find the prime factorization of 2488

2488 = 2 x 2 x 2 x 311

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 2482 and 2488 is 2