Greatest Common Factor of 4480 and 4484

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 4480, 4484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4480 and 4484 is 4.

GCF(4480,4484) = 4

GCF of 4480 and 4484

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

GCF of:
and

Greatest Common Factor of 4480 and 4484

GCF of 4480 and 4484 is 4

Prime Factorization of 4480


2 4480
2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 4480 are 2,5,7. Prime factorization of 4480 in exponential form is:

4480 = 27×51×71

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

∴ So by taking common prime factors GCF of 4480 and 4484 is 4

Greatest Common Factor of 4480 and 4484 by matching factors method

Factors of 4480

List of positive integer factors of 4480 that divides 4480 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480

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

Greatest Common Factor

We found the factors and prime factorization of 4480 and 4484. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4484 is 4.

Also check out the Least Common Multiple of 4480 and 4484

Properties of GCF 4480 and 4484

(i) The GCF of 4480 and 4484 is associative

GCF of 4480 and 4484 = GCF of 4484 and 4480

Related Greatest Common Factor of 4480

Related Greatest Common Factor of 4484

Frequently Asked Questions on GCF of 4480 and 4484

1. What is the GCF of 4480 and 4484?

Answer: GCF of 4480 and 4484 is 4.

2. What are the Factors of 4480?

Answer: Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. There are 32 integers that are factors of 4480. The greatest factor of 4480 is 4480.

3. 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.

4. How to Find the GCF of 4480 and 4484?

Answer:

Greatest Common Factor of 4480 and 4484 = 4

Step 1: Find the prime factorization of 4480

4480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

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 4480 and 4484 is 4