Greatest Common Factor of 5601 and 5607

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 5601, 5607 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5601 and 5607 is 3.

GCF(5601,5607) = 3

GCF of 5601 and 5607

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

GCF of:
and

Greatest Common Factor of 5601 and 5607

GCF of 5601 and 5607 is 3

Prime Factorization of 5601


3 5601
1867 1867
1

Prime factors of 5601 are 3,1867. Prime factorization of 5601 in exponential form is:

5601 = 31×18671

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

∴ So by taking common prime factors GCF of 5601 and 5607 is 3

Greatest Common Factor of 5601 and 5607 by matching factors method

Factors of 5601

List of positive integer factors of 5601 that divides 5601 without a remainder.

1,3,1867,5601

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

Greatest Common Factor

We found the factors and prime factorization of 5601 and 5607. The biggest common factor number is the GCF number.
So the greatest common factor 5601 and 5607 is 3.

Also check out the Least Common Multiple of 5601 and 5607

Properties of GCF 5601 and 5607

(i) The GCF of 5601 and 5607 is associative

GCF of 5601 and 5607 = GCF of 5607 and 5601

Related Greatest Common Factor of 5601

Related Greatest Common Factor of 5607

Frequently Asked Questions on GCF of 5601 and 5607

1. What is the GCF of 5601 and 5607?

Answer: GCF of 5601 and 5607 is 3.

2. What are the Factors of 5601?

Answer: Factors of 5601 are 1, 3, 1867, 5601. There are 4 integers that are factors of 5601. The greatest factor of 5601 is 5601.

3. 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.

4. How to Find the GCF of 5601 and 5607?

Answer:

Greatest Common Factor of 5601 and 5607 = 3

Step 1: Find the prime factorization of 5601

5601 = 3 x 1867

Step 2: Find the prime factorization of 5607

5607 = 3 x 3 x 7 x 89

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 5601 and 5607 is 3