Greatest Common Factor of 4480 and 4482

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, 4482 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4480 and 4482 is 2.

GCF(4480,4482) = 2

GCF of 4480 and 4482

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

GCF of:
and

Greatest Common Factor of 4480 and 4482

GCF of 4480 and 4482 is 2

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 4482


2 4482
3 2241
3 747
3 249
83 83
1

Prime factors of 4482 are 2,3,83. Prime factorization of 4482 in exponential form is:

4482 = 21×33×831

∴ So by taking common prime factors GCF of 4480 and 4482 is 2

Greatest Common Factor of 4480 and 4482 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 4482

List of positive integer factors of 4482 that divides 4482 without a remainder.

1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482

Greatest Common Factor

We found the factors and prime factorization of 4480 and 4482. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4482 is 2.

Also check out the Least Common Multiple of 4480 and 4482

Properties of GCF 4480 and 4482

(i) The GCF of 4480 and 4482 is associative

GCF of 4480 and 4482 = GCF of 4482 and 4480

Related Greatest Common Factor of 4480

Related Greatest Common Factor of 4482

Frequently Asked Questions on GCF of 4480 and 4482

1. What is the GCF of 4480 and 4482?

Answer: GCF of 4480 and 4482 is 2.

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 4482?

Answer: Factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482. There are 16 integers that are factors of 4482. The greatest factor of 4482 is 4482.

4. How to Find the GCF of 4480 and 4482?

Answer:

Greatest Common Factor of 4480 and 4482 = 2

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 4482

4482 = 2 x 3 x 3 x 3 x 83

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 4480 and 4482 is 2