Greatest Common Factor of 5607 and 5613

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 5607, 5613 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5607 and 5613 is 3.

GCF(5607,5613) = 3

GCF of 5607 and 5613

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

GCF of:
and

Greatest Common Factor of 5607 and 5613

GCF of 5607 and 5613 is 3

Prime Factorization of 5607


3 5607
3 1869
7 623
89 89
1

Prime factors of 5607 are 3,7,89. Prime factorization of 5607 in exponential form is:

5607 = 32×71×891

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

∴ So by taking common prime factors GCF of 5607 and 5613 is 3

Greatest Common Factor of 5607 and 5613 by matching factors method

Factors of 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1,3,7,9,21,63,89,267,623,801,1869,5607

Factors of 5613

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

1,3,1871,5613

Greatest Common Factor

We found the factors and prime factorization of 5607 and 5613. The biggest common factor number is the GCF number.
So the greatest common factor 5607 and 5613 is 3.

Also check out the Least Common Multiple of 5607 and 5613

Properties of GCF 5607 and 5613

(i) The GCF of 5607 and 5613 is associative

GCF of 5607 and 5613 = GCF of 5613 and 5607

Related Greatest Common Factor of 5607

Related Greatest Common Factor of 5613

Frequently Asked Questions on GCF of 5607 and 5613

1. What is the GCF of 5607 and 5613?

Answer: GCF of 5607 and 5613 is 3.

2. What are the Factors of 5607?

Answer: Factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607. There are 12 integers that are factors of 5607. The greatest factor of 5607 is 5607.

3. 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.

4. How to Find the GCF of 5607 and 5613?

Answer:

Greatest Common Factor of 5607 and 5613 = 3

Step 1: Find the prime factorization of 5607

5607 = 3 x 3 x 7 x 89

Step 2: Find the prime factorization of 5613

5613 = 3 x 1871

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5607 and 5613 is 3