Greatest Common Factor of 8825 and 8831

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 8825, 8831 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8825 and 8831 is 1.

GCF(8825,8831) = 1

GCF of 8825 and 8831

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

GCF of:
and

Greatest Common Factor of 8825 and 8831

GCF of 8825 and 8831 is 1

Prime Factorization of 8825


5 8825
5 1765
353 353
1

Prime factors of 8825 are 5,353. Prime factorization of 8825 in exponential form is:

8825 = 52×3531

Prime Factorization of 8831


8831 8831
1

Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:

8831 = 88311

∴ So by taking common prime factors GCF of 8825 and 8831 is 1

Greatest Common Factor of 8825 and 8831 by matching factors method

Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1,5,25,353,1765,8825

Factors of 8831

List of positive integer factors of 8831 that divides 8831 without a remainder.

1,8831

Greatest Common Factor

We found the factors and prime factorization of 8825 and 8831. The biggest common factor number is the GCF number.
So the greatest common factor 8825 and 8831 is 1.

Also check out the Least Common Multiple of 8825 and 8831

Properties of GCF 8825 and 8831

(i) The GCF of 8825 and 8831 is associative

GCF of 8825 and 8831 = GCF of 8831 and 8825

Related Greatest Common Factor of 8825

Related Greatest Common Factor of 8831

Frequently Asked Questions on GCF of 8825 and 8831

1. What is the GCF of 8825 and 8831?

Answer: GCF of 8825 and 8831 is 1.

2. What are the Factors of 8825?

Answer: Factors of 8825 are 1, 5, 25, 353, 1765, 8825. There are 6 integers that are factors of 8825. The greatest factor of 8825 is 8825.

3. What are the Factors of 8831?

Answer: Factors of 8831 are 1, 8831. There are 2 integers that are factors of 8831. The greatest factor of 8831 is 8831.

4. How to Find the GCF of 8825 and 8831?

Answer:

Greatest Common Factor of 8825 and 8831 = 1

Step 1: Find the prime factorization of 8825

8825 = 5 x 5 x 353

Step 2: Find the prime factorization of 8831

8831 = 8831

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 8825 and 8831 is 1