Greatest Common Factor of 8905 and 8909

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 8905, 8909 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8905 and 8909 is 1.

GCF(8905,8909) = 1

GCF of 8905 and 8909

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

GCF of:
and

Greatest Common Factor of 8905 and 8909

GCF of 8905 and 8909 is 1

Prime Factorization of 8905


5 8905
13 1781
137 137
1

Prime factors of 8905 are 5,13,137. Prime factorization of 8905 in exponential form is:

8905 = 51×131×1371

Prime Factorization of 8909


59 8909
151 151
1

Prime factors of 8909 are 59,151. Prime factorization of 8909 in exponential form is:

8909 = 591×1511

∴ So by taking common prime factors GCF of 8905 and 8909 is 1

Greatest Common Factor of 8905 and 8909 by matching factors method

Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1,5,13,65,137,685,1781,8905

Factors of 8909

List of positive integer factors of 8909 that divides 8909 without a remainder.

1,59,151,8909

Greatest Common Factor

We found the factors and prime factorization of 8905 and 8909. The biggest common factor number is the GCF number.
So the greatest common factor 8905 and 8909 is 1.

Also check out the Least Common Multiple of 8905 and 8909

Properties of GCF 8905 and 8909

(i) The GCF of 8905 and 8909 is associative

GCF of 8905 and 8909 = GCF of 8909 and 8905

Related Greatest Common Factor of 8905

Related Greatest Common Factor of 8909

Frequently Asked Questions on GCF of 8905 and 8909

1. What is the GCF of 8905 and 8909?

Answer: GCF of 8905 and 8909 is 1.

2. What are the Factors of 8905?

Answer: Factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905. There are 8 integers that are factors of 8905. The greatest factor of 8905 is 8905.

3. What are the Factors of 8909?

Answer: Factors of 8909 are 1, 59, 151, 8909. There are 4 integers that are factors of 8909. The greatest factor of 8909 is 8909.

4. How to Find the GCF of 8905 and 8909?

Answer:

Greatest Common Factor of 8905 and 8909 = 1

Step 1: Find the prime factorization of 8905

8905 = 5 x 13 x 137

Step 2: Find the prime factorization of 8909

8909 = 59 x 151

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 8905 and 8909 is 1