Greatest Common Factor of 8864 and 8871

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 8864, 8871 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8864 and 8871 is 1.

GCF(8864,8871) = 1

GCF of 8864 and 8871

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

GCF of:
and

Greatest Common Factor of 8864 and 8871

GCF of 8864 and 8871 is 1

Prime Factorization of 8864


2 8864
2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 8864 are 2,277. Prime factorization of 8864 in exponential form is:

8864 = 25×2771

Prime Factorization of 8871


3 8871
2957 2957
1

Prime factors of 8871 are 3,2957. Prime factorization of 8871 in exponential form is:

8871 = 31×29571

∴ So by taking common prime factors GCF of 8864 and 8871 is 1

Greatest Common Factor of 8864 and 8871 by matching factors method

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1,2,4,8,16,32,277,554,1108,2216,4432,8864

Factors of 8871

List of positive integer factors of 8871 that divides 8871 without a remainder.

1,3,2957,8871

Greatest Common Factor

We found the factors and prime factorization of 8864 and 8871. The biggest common factor number is the GCF number.
So the greatest common factor 8864 and 8871 is 1.

Also check out the Least Common Multiple of 8864 and 8871

Properties of GCF 8864 and 8871

(i) The GCF of 8864 and 8871 is associative

GCF of 8864 and 8871 = GCF of 8871 and 8864

Related Greatest Common Factor of 8864

Related Greatest Common Factor of 8871

Frequently Asked Questions on GCF of 8864 and 8871

1. What is the GCF of 8864 and 8871?

Answer: GCF of 8864 and 8871 is 1.

2. What are the Factors of 8864?

Answer: Factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864. There are 12 integers that are factors of 8864. The greatest factor of 8864 is 8864.

3. What are the Factors of 8871?

Answer: Factors of 8871 are 1, 3, 2957, 8871. There are 4 integers that are factors of 8871. The greatest factor of 8871 is 8871.

4. How to Find the GCF of 8864 and 8871?

Answer:

Greatest Common Factor of 8864 and 8871 = 1

Step 1: Find the prime factorization of 8864

8864 = 2 x 2 x 2 x 2 x 2 x 277

Step 2: Find the prime factorization of 8871

8871 = 3 x 2957

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 8864 and 8871 is 1