Greatest Common Factor of 8908 and 8914

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 8908, 8914 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8908 and 8914 is 2.

GCF(8908,8914) = 2

GCF of 8908 and 8914

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

GCF of:
and

Greatest Common Factor of 8908 and 8914

GCF of 8908 and 8914 is 2

Prime Factorization of 8908


2 8908
2 4454
17 2227
131 131
1

Prime factors of 8908 are 2,17,131. Prime factorization of 8908 in exponential form is:

8908 = 22×171×1311

Prime Factorization of 8914


2 8914
4457 4457
1

Prime factors of 8914 are 2,4457. Prime factorization of 8914 in exponential form is:

8914 = 21×44571

∴ So by taking common prime factors GCF of 8908 and 8914 is 2

Greatest Common Factor of 8908 and 8914 by matching factors method

Factors of 8908

List of positive integer factors of 8908 that divides 8908 without a remainder.

1,2,4,17,34,68,131,262,524,2227,4454,8908

Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1,2,4457,8914

Greatest Common Factor

We found the factors and prime factorization of 8908 and 8914. The biggest common factor number is the GCF number.
So the greatest common factor 8908 and 8914 is 2.

Also check out the Least Common Multiple of 8908 and 8914

Properties of GCF 8908 and 8914

(i) The GCF of 8908 and 8914 is associative

GCF of 8908 and 8914 = GCF of 8914 and 8908

Related Greatest Common Factor of 8908

Related Greatest Common Factor of 8914

Frequently Asked Questions on GCF of 8908 and 8914

1. What is the GCF of 8908 and 8914?

Answer: GCF of 8908 and 8914 is 2.

2. What are the Factors of 8908?

Answer: Factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908. There are 12 integers that are factors of 8908. The greatest factor of 8908 is 8908.

3. What are the Factors of 8914?

Answer: Factors of 8914 are 1, 2, 4457, 8914. There are 4 integers that are factors of 8914. The greatest factor of 8914 is 8914.

4. How to Find the GCF of 8908 and 8914?

Answer:

Greatest Common Factor of 8908 and 8914 = 2

Step 1: Find the prime factorization of 8908

8908 = 2 x 2 x 17 x 131

Step 2: Find the prime factorization of 8914

8914 = 2 x 4457

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8908 and 8914 is 2