Greatest Common Factor of 482 and 488

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 482, 488 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 482 and 488 is 2.

GCF(482,488) = 2

GCF of 482 and 488

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

GCF of:
and

Greatest Common Factor of 482 and 488

GCF of 482 and 488 is 2

Prime Factorization of 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

Prime Factorization of 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

∴ So by taking common prime factors GCF of 482 and 488 is 2

Greatest Common Factor of 482 and 488 by matching factors method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors and prime factorization of 482 and 488. The biggest common factor number is the GCF number.
So the greatest common factor 482 and 488 is 2.

Also check out the Least Common Multiple of 482 and 488

Properties of GCF 482 and 488

(i) The GCF of 482 and 488 is associative

GCF of 482 and 488 = GCF of 488 and 482

Related Greatest Common Factor of 482

Related Greatest Common Factor of 488

Frequently Asked Questions on GCF of 482 and 488

1. What is the GCF of 482 and 488?

Answer: GCF of 482 and 488 is 2.

2. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

3. What are the Factors of 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

4. How to Find the GCF of 482 and 488?

Answer:

Greatest Common Factor of 482 and 488 = 2

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

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 482 and 488 is 2