Greatest Common Factor of 8475 and 8482

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, 8482 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8475 and 8482 is 1.

GCF(8475,8482) = 1

GCF of 8475 and 8482

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

GCF of:
and

Greatest Common Factor of 8475 and 8482

GCF of 8475 and 8482 is 1

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 8482


2 8482
4241 4241
1

Prime factors of 8482 are 2,4241. Prime factorization of 8482 in exponential form is:

8482 = 21×42411

∴ So by taking common prime factors GCF of 8475 and 8482 is 1

Greatest Common Factor of 8475 and 8482 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 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1,2,4241,8482

Greatest Common Factor

We found the factors and prime factorization of 8475 and 8482. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8482 is 1.

Also check out the Least Common Multiple of 8475 and 8482

Properties of GCF 8475 and 8482

(i) The GCF of 8475 and 8482 is associative

GCF of 8475 and 8482 = GCF of 8482 and 8475

Related Greatest Common Factor of 8475

Related Greatest Common Factor of 8482

Frequently Asked Questions on GCF of 8475 and 8482

1. What is the GCF of 8475 and 8482?

Answer: GCF of 8475 and 8482 is 1.

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 8482?

Answer: Factors of 8482 are 1, 2, 4241, 8482. There are 4 integers that are factors of 8482. The greatest factor of 8482 is 8482.

4. How to Find the GCF of 8475 and 8482?

Answer:

Greatest Common Factor of 8475 and 8482 = 1

Step 1: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

Step 2: Find the prime factorization of 8482

8482 = 2 x 4241

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8475 and 8482 is 1