Greatest Common Factor of 4480 and 4487

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, 4487 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4480 and 4487 is 7.

GCF(4480,4487) = 7

GCF of 4480 and 4487

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

GCF of:
and

Greatest Common Factor of 4480 and 4487

GCF of 4480 and 4487 is 7

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 4487


7 4487
641 641
1

Prime factors of 4487 are 7,641. Prime factorization of 4487 in exponential form is:

4487 = 71×6411

∴ So by taking common prime factors GCF of 4480 and 4487 is 7

Greatest Common Factor of 4480 and 4487 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 4487

List of positive integer factors of 4487 that divides 4487 without a remainder.

1,7,641,4487

Greatest Common Factor

We found the factors and prime factorization of 4480 and 4487. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4487 is 7.

Also check out the Least Common Multiple of 4480 and 4487

Properties of GCF 4480 and 4487

(i) The GCF of 4480 and 4487 is associative

GCF of 4480 and 4487 = GCF of 4487 and 4480

Related Greatest Common Factor of 4480

Related Greatest Common Factor of 4487

Frequently Asked Questions on GCF of 4480 and 4487

1. What is the GCF of 4480 and 4487?

Answer: GCF of 4480 and 4487 is 7.

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 4487?

Answer: Factors of 4487 are 1, 7, 641, 4487. There are 4 integers that are factors of 4487. The greatest factor of 4487 is 4487.

4. How to Find the GCF of 4480 and 4487?

Answer:

Greatest Common Factor of 4480 and 4487 = 7

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 4487

4487 = 7 x 641

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 4480 and 4487 is 7