Greatest Common Factor of 4901 and 4905

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 4901, 4905 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4901 and 4905 is 1.

GCF(4901,4905) = 1

GCF of 4901 and 4905

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

GCF of:
and

Greatest Common Factor of 4901 and 4905

GCF of 4901 and 4905 is 1

Prime Factorization of 4901


13 4901
13 377
29 29
1

Prime factors of 4901 are 13,29. Prime factorization of 4901 in exponential form is:

4901 = 132×291

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

∴ So by taking common prime factors GCF of 4901 and 4905 is 1

Greatest Common Factor of 4901 and 4905 by matching factors method

Factors of 4901

List of positive integer factors of 4901 that divides 4901 without a remainder.

1,13,29,169,377,4901

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

Greatest Common Factor

We found the factors and prime factorization of 4901 and 4905. The biggest common factor number is the GCF number.
So the greatest common factor 4901 and 4905 is 1.

Also check out the Least Common Multiple of 4901 and 4905

Properties of GCF 4901 and 4905

(i) The GCF of 4901 and 4905 is associative

GCF of 4901 and 4905 = GCF of 4905 and 4901

Related Greatest Common Factor of 4901

Related Greatest Common Factor of 4905

Frequently Asked Questions on GCF of 4901 and 4905

1. What is the GCF of 4901 and 4905?

Answer: GCF of 4901 and 4905 is 1.

2. What are the Factors of 4901?

Answer: Factors of 4901 are 1, 13, 29, 169, 377, 4901. There are 6 integers that are factors of 4901. The greatest factor of 4901 is 4901.

3. 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.

4. How to Find the GCF of 4901 and 4905?

Answer:

Greatest Common Factor of 4901 and 4905 = 1

Step 1: Find the prime factorization of 4901

4901 = 13 x 13 x 29

Step 2: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

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 4901 and 4905 is 1