Greatest Common Factor of 8480 and 8486

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, 8486 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8480 and 8486 is 2.

GCF(8480,8486) = 2

GCF of 8480 and 8486

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

GCF of:
and

Greatest Common Factor of 8480 and 8486

GCF of 8480 and 8486 is 2

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 8486


2 8486
4243 4243
1

Prime factors of 8486 are 2,4243. Prime factorization of 8486 in exponential form is:

8486 = 21×42431

∴ So by taking common prime factors GCF of 8480 and 8486 is 2

Greatest Common Factor of 8480 and 8486 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 8486

List of positive integer factors of 8486 that divides 8486 without a remainder.

1,2,4243,8486

Greatest Common Factor

We found the factors and prime factorization of 8480 and 8486. The biggest common factor number is the GCF number.
So the greatest common factor 8480 and 8486 is 2.

Also check out the Least Common Multiple of 8480 and 8486

Properties of GCF 8480 and 8486

(i) The GCF of 8480 and 8486 is associative

GCF of 8480 and 8486 = GCF of 8486 and 8480

Related Greatest Common Factor of 8480

Related Greatest Common Factor of 8486

Frequently Asked Questions on GCF of 8480 and 8486

1. What is the GCF of 8480 and 8486?

Answer: GCF of 8480 and 8486 is 2.

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 8486?

Answer: Factors of 8486 are 1, 2, 4243, 8486. There are 4 integers that are factors of 8486. The greatest factor of 8486 is 8486.

4. How to Find the GCF of 8480 and 8486?

Answer:

Greatest Common Factor of 8480 and 8486 = 2

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 8486

8486 = 2 x 4243

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 8480 and 8486 is 2