Greatest Common Factor of 8825 and 8827

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, 8827 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8825 and 8827 is 1.

GCF(8825,8827) = 1

GCF of 8825 and 8827

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

GCF of:
and

Greatest Common Factor of 8825 and 8827

GCF of 8825 and 8827 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 8827


7 8827
13 1261
97 97
1

Prime factors of 8827 are 7,13,97. Prime factorization of 8827 in exponential form is:

8827 = 71×131×971

∴ So by taking common prime factors GCF of 8825 and 8827 is 1

Greatest Common Factor of 8825 and 8827 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 8827

List of positive integer factors of 8827 that divides 8827 without a remainder.

1,7,13,91,97,679,1261,8827

Greatest Common Factor

We found the factors and prime factorization of 8825 and 8827. The biggest common factor number is the GCF number.
So the greatest common factor 8825 and 8827 is 1.

Also check out the Least Common Multiple of 8825 and 8827

Properties of GCF 8825 and 8827

(i) The GCF of 8825 and 8827 is associative

GCF of 8825 and 8827 = GCF of 8827 and 8825

Related Greatest Common Factor of 8825

Related Greatest Common Factor of 8827

Frequently Asked Questions on GCF of 8825 and 8827

1. What is the GCF of 8825 and 8827?

Answer: GCF of 8825 and 8827 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 8827?

Answer: Factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827. There are 8 integers that are factors of 8827. The greatest factor of 8827 is 8827.

4. How to Find the GCF of 8825 and 8827?

Answer:

Greatest Common Factor of 8825 and 8827 = 1

Step 1: Find the prime factorization of 8825

8825 = 5 x 5 x 353

Step 2: Find the prime factorization of 8827

8827 = 7 x 13 x 97

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 8827 is 1