Greatest Common Factor of 3663 and 3667

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 3663, 3667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3663 and 3667 is 1.

GCF(3663,3667) = 1

GCF of 3663 and 3667

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

GCF of:
and

Greatest Common Factor of 3663 and 3667

GCF of 3663 and 3667 is 1

Prime Factorization of 3663


3 3663
3 1221
11 407
37 37
1

Prime factors of 3663 are 3,11,37. Prime factorization of 3663 in exponential form is:

3663 = 32×111×371

Prime Factorization of 3667


19 3667
193 193
1

Prime factors of 3667 are 19,193. Prime factorization of 3667 in exponential form is:

3667 = 191×1931

∴ So by taking common prime factors GCF of 3663 and 3667 is 1

Greatest Common Factor of 3663 and 3667 by matching factors method

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Factors of 3667

List of positive integer factors of 3667 that divides 3667 without a remainder.

1,19,193,3667

Greatest Common Factor

We found the factors and prime factorization of 3663 and 3667. The biggest common factor number is the GCF number.
So the greatest common factor 3663 and 3667 is 1.

Also check out the Least Common Multiple of 3663 and 3667

Properties of GCF 3663 and 3667

(i) The GCF of 3663 and 3667 is associative

GCF of 3663 and 3667 = GCF of 3667 and 3663

Related Greatest Common Factor of 3663

Related Greatest Common Factor of 3667

Frequently Asked Questions on GCF of 3663 and 3667

1. What is the GCF of 3663 and 3667?

Answer: GCF of 3663 and 3667 is 1.

2. What are the Factors of 3663?

Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.

3. What are the Factors of 3667?

Answer: Factors of 3667 are 1, 19, 193, 3667. There are 4 integers that are factors of 3667. The greatest factor of 3667 is 3667.

4. How to Find the GCF of 3663 and 3667?

Answer:

Greatest Common Factor of 3663 and 3667 = 1

Step 1: Find the prime factorization of 3663

3663 = 3 x 3 x 11 x 37

Step 2: Find the prime factorization of 3667

3667 = 19 x 193

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 3663 and 3667 is 1