Greatest Common Factor of 8872 and 8875

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 8872, 8875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8872 and 8875 is 1.

GCF(8872,8875) = 1

GCF of 8872 and 8875

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

GCF of:
and

Greatest Common Factor of 8872 and 8875

GCF of 8872 and 8875 is 1

Prime Factorization of 8872


2 8872
2 4436
2 2218
1109 1109
1

Prime factors of 8872 are 2,1109. Prime factorization of 8872 in exponential form is:

8872 = 23×11091

Prime Factorization of 8875


5 8875
5 1775
5 355
71 71
1

Prime factors of 8875 are 5,71. Prime factorization of 8875 in exponential form is:

8875 = 53×711

∴ So by taking common prime factors GCF of 8872 and 8875 is 1

Greatest Common Factor of 8872 and 8875 by matching factors method

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1,2,4,8,1109,2218,4436,8872

Factors of 8875

List of positive integer factors of 8875 that divides 8875 without a remainder.

1,5,25,71,125,355,1775,8875

Greatest Common Factor

We found the factors and prime factorization of 8872 and 8875. The biggest common factor number is the GCF number.
So the greatest common factor 8872 and 8875 is 1.

Also check out the Least Common Multiple of 8872 and 8875

Properties of GCF 8872 and 8875

(i) The GCF of 8872 and 8875 is associative

GCF of 8872 and 8875 = GCF of 8875 and 8872

Related Greatest Common Factor of 8872

Related Greatest Common Factor of 8875

Frequently Asked Questions on GCF of 8872 and 8875

1. What is the GCF of 8872 and 8875?

Answer: GCF of 8872 and 8875 is 1.

2. What are the Factors of 8872?

Answer: Factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872. There are 8 integers that are factors of 8872. The greatest factor of 8872 is 8872.

3. What are the Factors of 8875?

Answer: Factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875. There are 8 integers that are factors of 8875. The greatest factor of 8875 is 8875.

4. How to Find the GCF of 8872 and 8875?

Answer:

Greatest Common Factor of 8872 and 8875 = 1

Step 1: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

Step 2: Find the prime factorization of 8875

8875 = 5 x 5 x 5 x 71

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 8872 and 8875 is 1