Greatest Common Factor of 8567 and 8575

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 8567, 8575 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8567 and 8575 is 1.

GCF(8567,8575) = 1

GCF of 8567 and 8575

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

GCF of:
and

Greatest Common Factor of 8567 and 8575

GCF of 8567 and 8575 is 1

Prime Factorization of 8567


13 8567
659 659
1

Prime factors of 8567 are 13,659. Prime factorization of 8567 in exponential form is:

8567 = 131×6591

Prime Factorization of 8575


5 8575
5 1715
7 343
7 49
7 7
1

Prime factors of 8575 are 5,7. Prime factorization of 8575 in exponential form is:

8575 = 52×73

∴ So by taking common prime factors GCF of 8567 and 8575 is 1

Greatest Common Factor of 8567 and 8575 by matching factors method

Factors of 8567

List of positive integer factors of 8567 that divides 8567 without a remainder.

1,13,659,8567

Factors of 8575

List of positive integer factors of 8575 that divides 8575 without a remainder.

1,5,7,25,35,49,175,245,343,1225,1715,8575

Greatest Common Factor

We found the factors and prime factorization of 8567 and 8575. The biggest common factor number is the GCF number.
So the greatest common factor 8567 and 8575 is 1.

Also check out the Least Common Multiple of 8567 and 8575

Properties of GCF 8567 and 8575

(i) The GCF of 8567 and 8575 is associative

GCF of 8567 and 8575 = GCF of 8575 and 8567

Related Greatest Common Factor of 8567

Related Greatest Common Factor of 8575

Frequently Asked Questions on GCF of 8567 and 8575

1. What is the GCF of 8567 and 8575?

Answer: GCF of 8567 and 8575 is 1.

2. What are the Factors of 8567?

Answer: Factors of 8567 are 1, 13, 659, 8567. There are 4 integers that are factors of 8567. The greatest factor of 8567 is 8567.

3. What are the Factors of 8575?

Answer: Factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575. There are 12 integers that are factors of 8575. The greatest factor of 8575 is 8575.

4. How to Find the GCF of 8567 and 8575?

Answer:

Greatest Common Factor of 8567 and 8575 = 1

Step 1: Find the prime factorization of 8567

8567 = 13 x 659

Step 2: Find the prime factorization of 8575

8575 = 5 x 5 x 7 x 7 x 7

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 8567 and 8575 is 1