Greatest Common Factor of 8480 and 8484

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 8480, 8484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8480 and 8484 is 4.

GCF(8480,8484) = 4

GCF of 8480 and 8484

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

GCF of:
and

Greatest Common Factor of 8480 and 8484

GCF of 8480 and 8484 is 4

Prime Factorization of 8480


2 8480
2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 8480 are 2,5,53. Prime factorization of 8480 in exponential form is:

8480 = 25×51×531

Prime Factorization of 8484


2 8484
2 4242
3 2121
7 707
101 101
1

Prime factors of 8484 are 2,3,7,101. Prime factorization of 8484 in exponential form is:

8484 = 22×31×71×1011

∴ So by taking common prime factors GCF of 8480 and 8484 is 4

Greatest Common Factor of 8480 and 8484 by matching factors method

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484

Greatest Common Factor

We found the factors and prime factorization of 8480 and 8484. The biggest common factor number is the GCF number.
So the greatest common factor 8480 and 8484 is 4.

Also check out the Least Common Multiple of 8480 and 8484

Properties of GCF 8480 and 8484

(i) The GCF of 8480 and 8484 is associative

GCF of 8480 and 8484 = GCF of 8484 and 8480

Related Greatest Common Factor of 8480

Related Greatest Common Factor of 8484

Frequently Asked Questions on GCF of 8480 and 8484

1. What is the GCF of 8480 and 8484?

Answer: GCF of 8480 and 8484 is 4.

2. What are the Factors of 8480?

Answer: Factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480. There are 24 integers that are factors of 8480. The greatest factor of 8480 is 8480.

3. What are the Factors of 8484?

Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.

4. How to Find the GCF of 8480 and 8484?

Answer:

Greatest Common Factor of 8480 and 8484 = 4

Step 1: Find the prime factorization of 8480

8480 = 2 x 2 x 2 x 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 8484

8484 = 2 x 2 x 3 x 7 x 101

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 8480 and 8484 is 4