Greatest Common Factor of 484 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 484, 488 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 484 and 488 is 4.

GCF(484,488) = 4

GCF of 484 and 488

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

GCF of:
and

Greatest Common Factor of 484 and 488

GCF of 484 and 488 is 4

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

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 484 and 488 is 4

Greatest Common Factor of 484 and 488 by matching factors method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

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 484 and 488. The biggest common factor number is the GCF number.
So the greatest common factor 484 and 488 is 4.

Also check out the Least Common Multiple of 484 and 488

Properties of GCF 484 and 488

(i) The GCF of 484 and 488 is associative

GCF of 484 and 488 = GCF of 488 and 484

Related Greatest Common Factor of 484

Related Greatest Common Factor of 488

Frequently Asked Questions on GCF of 484 and 488

1. What is the GCF of 484 and 488?

Answer: GCF of 484 and 488 is 4.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

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 484 and 488?

Answer:

Greatest Common Factor of 484 and 488 = 4

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 484 and 488 is 4