Greatest Common Factor of 8901 and 8903

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 8901, 8903 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8901 and 8903 is 1.

GCF(8901,8903) = 1

GCF of 8901 and 8903

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

GCF of:
and

Greatest Common Factor of 8901 and 8903

GCF of 8901 and 8903 is 1

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

Prime Factorization of 8903


29 8903
307 307
1

Prime factors of 8903 are 29,307. Prime factorization of 8903 in exponential form is:

8903 = 291×3071

∴ So by taking common prime factors GCF of 8901 and 8903 is 1

Greatest Common Factor of 8901 and 8903 by matching factors method

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

Factors of 8903

List of positive integer factors of 8903 that divides 8903 without a remainder.

1,29,307,8903

Greatest Common Factor

We found the factors and prime factorization of 8901 and 8903. The biggest common factor number is the GCF number.
So the greatest common factor 8901 and 8903 is 1.

Also check out the Least Common Multiple of 8901 and 8903

Properties of GCF 8901 and 8903

(i) The GCF of 8901 and 8903 is associative

GCF of 8901 and 8903 = GCF of 8903 and 8901

Frequently Asked Questions on GCF of 8901 and 8903

1. What is the GCF of 8901 and 8903?

Answer: GCF of 8901 and 8903 is 1.

2. 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.

3. What are the Factors of 8903?

Answer: Factors of 8903 are 1, 29, 307, 8903. There are 4 integers that are factors of 8903. The greatest factor of 8903 is 8903.

4. How to Find the GCF of 8901 and 8903?

Answer:

Greatest Common Factor of 8901 and 8903 = 1

Step 1: Find the prime factorization of 8901

8901 = 3 x 3 x 23 x 43

Step 2: Find the prime factorization of 8903

8903 = 29 x 307

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 8901 and 8903 is 1