Greatest Common Factor of 8898 and 8901

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 8898, 8901 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8898 and 8901 is 3.

GCF(8898,8901) = 3

GCF of 8898 and 8901

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

GCF of:
and

Greatest Common Factor of 8898 and 8901

GCF of 8898 and 8901 is 3

Prime Factorization of 8898


2 8898
3 4449
1483 1483
1

Prime factors of 8898 are 2,3,1483. Prime factorization of 8898 in exponential form is:

8898 = 21×31×14831

Prime Factorization of 8901


3 8901
3 2967
23 989
43 43
1

Prime factors of 8901 are 3,23,43. Prime factorization of 8901 in exponential form is:

8901 = 32×231×431

∴ So by taking common prime factors GCF of 8898 and 8901 is 3

Greatest Common Factor of 8898 and 8901 by matching factors method

Factors of 8898

List of positive integer factors of 8898 that divides 8898 without a remainder.

1,2,3,6,1483,2966,4449,8898

Factors of 8901

List of positive integer factors of 8901 that divides 8901 without a remainder.

1,3,9,23,43,69,129,207,387,989,2967,8901

Greatest Common Factor

We found the factors and prime factorization of 8898 and 8901. The biggest common factor number is the GCF number.
So the greatest common factor 8898 and 8901 is 3.

Also check out the Least Common Multiple of 8898 and 8901

Properties of GCF 8898 and 8901

(i) The GCF of 8898 and 8901 is associative

GCF of 8898 and 8901 = GCF of 8901 and 8898

Related Greatest Common Factor of 8898

Related Greatest Common Factor of 8901

Frequently Asked Questions on GCF of 8898 and 8901

1. What is the GCF of 8898 and 8901?

Answer: GCF of 8898 and 8901 is 3.

2. What are the Factors of 8898?

Answer: Factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898. There are 8 integers that are factors of 8898. The greatest factor of 8898 is 8898.

3. What are the Factors of 8901?

Answer: Factors of 8901 are 1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901. There are 12 integers that are factors of 8901. The greatest factor of 8901 is 8901.

4. How to Find the GCF of 8898 and 8901?

Answer:

Greatest Common Factor of 8898 and 8901 = 3

Step 1: Find the prime factorization of 8898

8898 = 2 x 3 x 1483

Step 2: Find the prime factorization of 8901

8901 = 3 x 3 x 23 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8898 and 8901 is 3