Greatest Common Factor of 3675 and 3681

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 3675, 3681 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3675 and 3681 is 3.

GCF(3675,3681) = 3

GCF of 3675 and 3681

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

GCF of:
and

Greatest Common Factor of 3675 and 3681

GCF of 3675 and 3681 is 3

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

Prime Factorization of 3681


3 3681
3 1227
409 409
1

Prime factors of 3681 are 3,409. Prime factorization of 3681 in exponential form is:

3681 = 32×4091

∴ So by taking common prime factors GCF of 3675 and 3681 is 3

Greatest Common Factor of 3675 and 3681 by matching factors method

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

Factors of 3681

List of positive integer factors of 3681 that divides 3681 without a remainder.

1,3,9,409,1227,3681

Greatest Common Factor

We found the factors and prime factorization of 3675 and 3681. The biggest common factor number is the GCF number.
So the greatest common factor 3675 and 3681 is 3.

Also check out the Least Common Multiple of 3675 and 3681

Properties of GCF 3675 and 3681

(i) The GCF of 3675 and 3681 is associative

GCF of 3675 and 3681 = GCF of 3681 and 3675

Related Greatest Common Factor of 3675

Related Greatest Common Factor of 3681

Frequently Asked Questions on GCF of 3675 and 3681

1. What is the GCF of 3675 and 3681?

Answer: GCF of 3675 and 3681 is 3.

2. 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.

3. What are the Factors of 3681?

Answer: Factors of 3681 are 1, 3, 9, 409, 1227, 3681. There are 6 integers that are factors of 3681. The greatest factor of 3681 is 3681.

4. How to Find the GCF of 3675 and 3681?

Answer:

Greatest Common Factor of 3675 and 3681 = 3

Step 1: Find the prime factorization of 3675

3675 = 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 3681

3681 = 3 x 3 x 409

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 3675 and 3681 is 3