Greatest Common Factor of 5913 and 5921

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 5913, 5921 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5913 and 5921 is 1.

GCF(5913,5921) = 1

GCF of 5913 and 5921

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

GCF of:
and

Greatest Common Factor of 5913 and 5921

GCF of 5913 and 5921 is 1

Prime Factorization of 5913


3 5913
3 1971
3 657
3 219
73 73
1

Prime factors of 5913 are 3,73. Prime factorization of 5913 in exponential form is:

5913 = 34×731

Prime Factorization of 5921


31 5921
191 191
1

Prime factors of 5921 are 31,191. Prime factorization of 5921 in exponential form is:

5921 = 311×1911

∴ So by taking common prime factors GCF of 5913 and 5921 is 1

Greatest Common Factor of 5913 and 5921 by matching factors method

Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1,3,9,27,73,81,219,657,1971,5913

Factors of 5921

List of positive integer factors of 5921 that divides 5921 without a remainder.

1,31,191,5921

Greatest Common Factor

We found the factors and prime factorization of 5913 and 5921. The biggest common factor number is the GCF number.
So the greatest common factor 5913 and 5921 is 1.

Also check out the Least Common Multiple of 5913 and 5921

Properties of GCF 5913 and 5921

(i) The GCF of 5913 and 5921 is associative

GCF of 5913 and 5921 = GCF of 5921 and 5913

Related Greatest Common Factor of 5913

Related Greatest Common Factor of 5921

Frequently Asked Questions on GCF of 5913 and 5921

1. What is the GCF of 5913 and 5921?

Answer: GCF of 5913 and 5921 is 1.

2. What are the Factors of 5913?

Answer: Factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. There are 10 integers that are factors of 5913. The greatest factor of 5913 is 5913.

3. What are the Factors of 5921?

Answer: Factors of 5921 are 1, 31, 191, 5921. There are 4 integers that are factors of 5921. The greatest factor of 5921 is 5921.

4. How to Find the GCF of 5913 and 5921?

Answer:

Greatest Common Factor of 5913 and 5921 = 1

Step 1: Find the prime factorization of 5913

5913 = 3 x 3 x 3 x 3 x 73

Step 2: Find the prime factorization of 5921

5921 = 31 x 191

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 5913 and 5921 is 1