Greatest Common Factor of 5613 and 5617

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 5613, 5617 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5613 and 5617 is 1.

GCF(5613,5617) = 1

GCF of 5613 and 5617

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

GCF of:
and

Greatest Common Factor of 5613 and 5617

GCF of 5613 and 5617 is 1

Prime Factorization of 5613


3 5613
1871 1871
1

Prime factors of 5613 are 3,1871. Prime factorization of 5613 in exponential form is:

5613 = 31×18711

Prime Factorization of 5617


41 5617
137 137
1

Prime factors of 5617 are 41,137. Prime factorization of 5617 in exponential form is:

5617 = 411×1371

∴ So by taking common prime factors GCF of 5613 and 5617 is 1

Greatest Common Factor of 5613 and 5617 by matching factors method

Factors of 5613

List of positive integer factors of 5613 that divides 5613 without a remainder.

1,3,1871,5613

Factors of 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1,41,137,5617

Greatest Common Factor

We found the factors and prime factorization of 5613 and 5617. The biggest common factor number is the GCF number.
So the greatest common factor 5613 and 5617 is 1.

Also check out the Least Common Multiple of 5613 and 5617

Properties of GCF 5613 and 5617

(i) The GCF of 5613 and 5617 is associative

GCF of 5613 and 5617 = GCF of 5617 and 5613

Related Greatest Common Factor of 5613

Related Greatest Common Factor of 5617

Frequently Asked Questions on GCF of 5613 and 5617

1. What is the GCF of 5613 and 5617?

Answer: GCF of 5613 and 5617 is 1.

2. What are the Factors of 5613?

Answer: Factors of 5613 are 1, 3, 1871, 5613. There are 4 integers that are factors of 5613. The greatest factor of 5613 is 5613.

3. What are the Factors of 5617?

Answer: Factors of 5617 are 1, 41, 137, 5617. There are 4 integers that are factors of 5617. The greatest factor of 5617 is 5617.

4. How to Find the GCF of 5613 and 5617?

Answer:

Greatest Common Factor of 5613 and 5617 = 1

Step 1: Find the prime factorization of 5613

5613 = 3 x 1871

Step 2: Find the prime factorization of 5617

5617 = 41 x 137

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 5613 and 5617 is 1