Greatest Common Factor of 5613 and 5621

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, 5621 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5613 and 5621 is 1.

GCF(5613,5621) = 1

GCF of 5613 and 5621

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

GCF of:
and

Greatest Common Factor of 5613 and 5621

GCF of 5613 and 5621 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 5621


7 5621
11 803
73 73
1

Prime factors of 5621 are 7,11,73. Prime factorization of 5621 in exponential form is:

5621 = 71×111×731

∴ So by taking common prime factors GCF of 5613 and 5621 is 1

Greatest Common Factor of 5613 and 5621 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 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1,7,11,73,77,511,803,5621

Greatest Common Factor

We found the factors and prime factorization of 5613 and 5621. The biggest common factor number is the GCF number.
So the greatest common factor 5613 and 5621 is 1.

Also check out the Least Common Multiple of 5613 and 5621

Properties of GCF 5613 and 5621

(i) The GCF of 5613 and 5621 is associative

GCF of 5613 and 5621 = GCF of 5621 and 5613

Related Greatest Common Factor of 5613

Related Greatest Common Factor of 5621

Frequently Asked Questions on GCF of 5613 and 5621

1. What is the GCF of 5613 and 5621?

Answer: GCF of 5613 and 5621 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 5621?

Answer: Factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621. There are 8 integers that are factors of 5621. The greatest factor of 5621 is 5621.

4. How to Find the GCF of 5613 and 5621?

Answer:

Greatest Common Factor of 5613 and 5621 = 1

Step 1: Find the prime factorization of 5613

5613 = 3 x 1871

Step 2: Find the prime factorization of 5621

5621 = 7 x 11 x 73

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 5621 is 1