Greatest Common Factor of 4905 and 4909

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 4905, 4909 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4905 and 4909 is 1.

GCF(4905,4909) = 1

GCF of 4905 and 4909

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

GCF of:
and

Greatest Common Factor of 4905 and 4909

GCF of 4905 and 4909 is 1

Prime Factorization of 4905


3 4905
3 1635
5 545
109 109
1

Prime factors of 4905 are 3,5,109. Prime factorization of 4905 in exponential form is:

4905 = 32×51×1091

Prime Factorization of 4909


4909 4909
1

Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:

4909 = 49091

∴ So by taking common prime factors GCF of 4905 and 4909 is 1

Greatest Common Factor of 4905 and 4909 by matching factors method

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1,3,5,9,15,45,109,327,545,981,1635,4905

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1,4909

Greatest Common Factor

We found the factors and prime factorization of 4905 and 4909. The biggest common factor number is the GCF number.
So the greatest common factor 4905 and 4909 is 1.

Also check out the Least Common Multiple of 4905 and 4909

Properties of GCF 4905 and 4909

(i) The GCF of 4905 and 4909 is associative

GCF of 4905 and 4909 = GCF of 4909 and 4905

Related Greatest Common Factor of 4905

Related Greatest Common Factor of 4909

Frequently Asked Questions on GCF of 4905 and 4909

1. What is the GCF of 4905 and 4909?

Answer: GCF of 4905 and 4909 is 1.

2. What are the Factors of 4905?

Answer: Factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905. There are 12 integers that are factors of 4905. The greatest factor of 4905 is 4905.

3. What are the Factors of 4909?

Answer: Factors of 4909 are 1, 4909. There are 2 integers that are factors of 4909. The greatest factor of 4909 is 4909.

4. How to Find the GCF of 4905 and 4909?

Answer:

Greatest Common Factor of 4905 and 4909 = 1

Step 1: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 4909

4909 = 4909

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 4905 and 4909 is 1