Greatest Common Factor of 4473 and 4480

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 4473, 4480 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4473 and 4480 is 7.

GCF(4473,4480) = 7

GCF of 4473 and 4480

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

GCF of:
and

Greatest Common Factor of 4473 and 4480

GCF of 4473 and 4480 is 7

Prime Factorization of 4473


3 4473
3 1491
7 497
71 71
1

Prime factors of 4473 are 3,7,71. Prime factorization of 4473 in exponential form is:

4473 = 32×71×711

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

∴ So by taking common prime factors GCF of 4473 and 4480 is 7

Greatest Common Factor of 4473 and 4480 by matching factors method

Factors of 4473

List of positive integer factors of 4473 that divides 4473 without a remainder.

1,3,7,9,21,63,71,213,497,639,1491,4473

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

Greatest Common Factor

We found the factors and prime factorization of 4473 and 4480. The biggest common factor number is the GCF number.
So the greatest common factor 4473 and 4480 is 7.

Also check out the Least Common Multiple of 4473 and 4480

Properties of GCF 4473 and 4480

(i) The GCF of 4473 and 4480 is associative

GCF of 4473 and 4480 = GCF of 4480 and 4473

Related Greatest Common Factor of 4473

Related Greatest Common Factor of 4480

Frequently Asked Questions on GCF of 4473 and 4480

1. What is the GCF of 4473 and 4480?

Answer: GCF of 4473 and 4480 is 7.

2. What are the Factors of 4473?

Answer: Factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473. There are 12 integers that are factors of 4473. The greatest factor of 4473 is 4473.

3. 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.

4. How to Find the GCF of 4473 and 4480?

Answer:

Greatest Common Factor of 4473 and 4480 = 7

Step 1: Find the prime factorization of 4473

4473 = 3 x 3 x 7 x 71

Step 2: 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 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 4473 and 4480 is 7