Greatest Common Factor of 3669 and 3675

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 3669, 3675 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3669 and 3675 is 3.

GCF(3669,3675) = 3

GCF of 3669 and 3675

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

GCF of:
and

Greatest Common Factor of 3669 and 3675

GCF of 3669 and 3675 is 3

Prime Factorization of 3669


3 3669
1223 1223
1

Prime factors of 3669 are 3,1223. Prime factorization of 3669 in exponential form is:

3669 = 31×12231

Prime Factorization of 3675


3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 3675 are 3,5,7. Prime factorization of 3675 in exponential form is:

3675 = 31×52×72

∴ So by taking common prime factors GCF of 3669 and 3675 is 3

Greatest Common Factor of 3669 and 3675 by matching factors method

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1,3,1223,3669

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Greatest Common Factor

We found the factors and prime factorization of 3669 and 3675. The biggest common factor number is the GCF number.
So the greatest common factor 3669 and 3675 is 3.

Also check out the Least Common Multiple of 3669 and 3675

Properties of GCF 3669 and 3675

(i) The GCF of 3669 and 3675 is associative

GCF of 3669 and 3675 = GCF of 3675 and 3669

Related Greatest Common Factor of 3669

Related Greatest Common Factor of 3675

Frequently Asked Questions on GCF of 3669 and 3675

1. What is the GCF of 3669 and 3675?

Answer: GCF of 3669 and 3675 is 3.

2. What are the Factors of 3669?

Answer: Factors of 3669 are 1, 3, 1223, 3669. There are 4 integers that are factors of 3669. The greatest factor of 3669 is 3669.

3. What are the Factors of 3675?

Answer: Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. There are 18 integers that are factors of 3675. The greatest factor of 3675 is 3675.

4. How to Find the GCF of 3669 and 3675?

Answer:

Greatest Common Factor of 3669 and 3675 = 3

Step 1: Find the prime factorization of 3669

3669 = 3 x 1223

Step 2: Find the prime factorization of 3675

3675 = 3 x 5 x 5 x 7 x 7

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 3669 and 3675 is 3