Greatest Common Factor of 5917 and 5924

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 5917, 5924 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5917 and 5924 is 1.

GCF(5917,5924) = 1

GCF of 5917 and 5924

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

GCF of:
and

Greatest Common Factor of 5917 and 5924

GCF of 5917 and 5924 is 1

Prime Factorization of 5917


61 5917
97 97
1

Prime factors of 5917 are 61,97. Prime factorization of 5917 in exponential form is:

5917 = 611×971

Prime Factorization of 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

∴ So by taking common prime factors GCF of 5917 and 5924 is 1

Greatest Common Factor of 5917 and 5924 by matching factors method

Factors of 5917

List of positive integer factors of 5917 that divides 5917 without a remainder.

1,61,97,5917

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1,2,4,1481,2962,5924

Greatest Common Factor

We found the factors and prime factorization of 5917 and 5924. The biggest common factor number is the GCF number.
So the greatest common factor 5917 and 5924 is 1.

Also check out the Least Common Multiple of 5917 and 5924

Properties of GCF 5917 and 5924

(i) The GCF of 5917 and 5924 is associative

GCF of 5917 and 5924 = GCF of 5924 and 5917

Related Greatest Common Factor of 5917

Related Greatest Common Factor of 5924

Frequently Asked Questions on GCF of 5917 and 5924

1. What is the GCF of 5917 and 5924?

Answer: GCF of 5917 and 5924 is 1.

2. What are the Factors of 5917?

Answer: Factors of 5917 are 1, 61, 97, 5917. There are 4 integers that are factors of 5917. The greatest factor of 5917 is 5917.

3. What are the Factors of 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

4. How to Find the GCF of 5917 and 5924?

Answer:

Greatest Common Factor of 5917 and 5924 = 1

Step 1: Find the prime factorization of 5917

5917 = 61 x 97

Step 2: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

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 5917 and 5924 is 1