Greatest Common Factor of 8475 and 8480

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 8475, 8480 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8475 and 8480 is 5.

GCF(8475,8480) = 5

GCF of 8475 and 8480

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

GCF of:
and

Greatest Common Factor of 8475 and 8480

GCF of 8475 and 8480 is 5

Prime Factorization of 8475


3 8475
5 2825
5 565
113 113
1

Prime factors of 8475 are 3,5,113. Prime factorization of 8475 in exponential form is:

8475 = 31×52×1131

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

∴ So by taking common prime factors GCF of 8475 and 8480 is 5

Greatest Common Factor of 8475 and 8480 by matching factors method

Factors of 8475

List of positive integer factors of 8475 that divides 8475 without a remainder.

1,3,5,15,25,75,113,339,565,1695,2825,8475

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

Greatest Common Factor

We found the factors and prime factorization of 8475 and 8480. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8480 is 5.

Also check out the Least Common Multiple of 8475 and 8480

Properties of GCF 8475 and 8480

(i) The GCF of 8475 and 8480 is associative

GCF of 8475 and 8480 = GCF of 8480 and 8475

Related Greatest Common Factor of 8475

Related Greatest Common Factor of 8480

Frequently Asked Questions on GCF of 8475 and 8480

1. What is the GCF of 8475 and 8480?

Answer: GCF of 8475 and 8480 is 5.

2. What are the Factors of 8475?

Answer: Factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475. There are 12 integers that are factors of 8475. The greatest factor of 8475 is 8475.

3. 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.

4. How to Find the GCF of 8475 and 8480?

Answer:

Greatest Common Factor of 8475 and 8480 = 5

Step 1: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

Step 2: Find the prime factorization of 8480

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8475 and 8480 is 5