Greatest Common Factor of 8475 and 8479

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, 8479 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8475 and 8479 is 1.

GCF(8475,8479) = 1

GCF of 8475 and 8479

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

GCF of:
and

Greatest Common Factor of 8475 and 8479

GCF of 8475 and 8479 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 8479


61 8479
139 139
1

Prime factors of 8479 are 61,139. Prime factorization of 8479 in exponential form is:

8479 = 611×1391

∴ So by taking common prime factors GCF of 8475 and 8479 is 1

Greatest Common Factor of 8475 and 8479 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 8479

List of positive integer factors of 8479 that divides 8479 without a remainder.

1,61,139,8479

Greatest Common Factor

We found the factors and prime factorization of 8475 and 8479. The biggest common factor number is the GCF number.
So the greatest common factor 8475 and 8479 is 1.

Also check out the Least Common Multiple of 8475 and 8479

Properties of GCF 8475 and 8479

(i) The GCF of 8475 and 8479 is associative

GCF of 8475 and 8479 = GCF of 8479 and 8475

Related Greatest Common Factor of 8475

Related Greatest Common Factor of 8479

Frequently Asked Questions on GCF of 8475 and 8479

1. What is the GCF of 8475 and 8479?

Answer: GCF of 8475 and 8479 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 8479?

Answer: Factors of 8479 are 1, 61, 139, 8479. There are 4 integers that are factors of 8479. The greatest factor of 8479 is 8479.

4. How to Find the GCF of 8475 and 8479?

Answer:

Greatest Common Factor of 8475 and 8479 = 1

Step 1: Find the prime factorization of 8475

8475 = 3 x 5 x 5 x 113

Step 2: Find the prime factorization of 8479

8479 = 61 x 139

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 8479 is 1