Greatest Common Factor of 8469 and 8475

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 8469, 8475 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8469 and 8475 is 3.

GCF(8469,8475) = 3

GCF of 8469 and 8475

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

GCF of:
and

Greatest Common Factor of 8469 and 8475

GCF of 8469 and 8475 is 3

Prime Factorization of 8469


3 8469
3 2823
941 941
1

Prime factors of 8469 are 3,941. Prime factorization of 8469 in exponential form is:

8469 = 32×9411

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

∴ So by taking common prime factors GCF of 8469 and 8475 is 3

Greatest Common Factor of 8469 and 8475 by matching factors method

Factors of 8469

List of positive integer factors of 8469 that divides 8469 without a remainder.

1,3,9,941,2823,8469

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

Greatest Common Factor

We found the factors and prime factorization of 8469 and 8475. The biggest common factor number is the GCF number.
So the greatest common factor 8469 and 8475 is 3.

Also check out the Least Common Multiple of 8469 and 8475

Properties of GCF 8469 and 8475

(i) The GCF of 8469 and 8475 is associative

GCF of 8469 and 8475 = GCF of 8475 and 8469

Related Greatest Common Factor of 8469

Related Greatest Common Factor of 8475

Frequently Asked Questions on GCF of 8469 and 8475

1. What is the GCF of 8469 and 8475?

Answer: GCF of 8469 and 8475 is 3.

2. What are the Factors of 8469?

Answer: Factors of 8469 are 1, 3, 9, 941, 2823, 8469. There are 6 integers that are factors of 8469. The greatest factor of 8469 is 8469.

3. 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.

4. How to Find the GCF of 8469 and 8475?

Answer:

Greatest Common Factor of 8469 and 8475 = 3

Step 1: Find the prime factorization of 8469

8469 = 3 x 3 x 941

Step 2: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8469 and 8475 is 3