Greatest Common Factor of 4484 and 4486

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 4484, 4486 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4484 and 4486 is 2.

GCF(4484,4486) = 2

GCF of 4484 and 4486

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

GCF of:
and

Greatest Common Factor of 4484 and 4486

GCF of 4484 and 4486 is 2

Prime Factorization of 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2,19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

Prime Factorization of 4486


2 4486
2243 2243
1

Prime factors of 4486 are 2,2243. Prime factorization of 4486 in exponential form is:

4486 = 21×22431

∴ So by taking common prime factors GCF of 4484 and 4486 is 2

Greatest Common Factor of 4484 and 4486 by matching factors method

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Factors of 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1,2,2243,4486

Greatest Common Factor

We found the factors and prime factorization of 4484 and 4486. The biggest common factor number is the GCF number.
So the greatest common factor 4484 and 4486 is 2.

Also check out the Least Common Multiple of 4484 and 4486

Properties of GCF 4484 and 4486

(i) The GCF of 4484 and 4486 is associative

GCF of 4484 and 4486 = GCF of 4486 and 4484

Frequently Asked Questions on GCF of 4484 and 4486

1. What is the GCF of 4484 and 4486?

Answer: GCF of 4484 and 4486 is 2.

2. What are the Factors of 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

3. What are the Factors of 4486?

Answer: Factors of 4486 are 1, 2, 2243, 4486. There are 4 integers that are factors of 4486. The greatest factor of 4486 is 4486.

4. How to Find the GCF of 4484 and 4486?

Answer:

Greatest Common Factor of 4484 and 4486 = 2

Step 1: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

Step 2: Find the prime factorization of 4486

4486 = 2 x 2243

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 4484 and 4486 is 2