Greatest Common Factor of 3667 and 3673

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 3667, 3673 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3667 and 3673 is 1.

GCF(3667,3673) = 1

GCF of 3667 and 3673

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

GCF of:
and

Greatest Common Factor of 3667 and 3673

GCF of 3667 and 3673 is 1

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

Prime Factorization of 3673


3673 3673
1

Prime factors of 3673 are 3673. Prime factorization of 3673 in exponential form is:

3673 = 36731

∴ So by taking common prime factors GCF of 3667 and 3673 is 1

Greatest Common Factor of 3667 and 3673 by matching factors method

Factors of 3667

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

1,19,193,3667

Factors of 3673

List of positive integer factors of 3673 that divides 3673 without a remainder.

1,3673

Greatest Common Factor

We found the factors and prime factorization of 3667 and 3673. The biggest common factor number is the GCF number.
So the greatest common factor 3667 and 3673 is 1.

Also check out the Least Common Multiple of 3667 and 3673

Properties of GCF 3667 and 3673

(i) The GCF of 3667 and 3673 is associative

GCF of 3667 and 3673 = GCF of 3673 and 3667

Related Greatest Common Factor of 3667

Related Greatest Common Factor of 3673

Frequently Asked Questions on GCF of 3667 and 3673

1. What is the GCF of 3667 and 3673?

Answer: GCF of 3667 and 3673 is 1.

2. 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.

3. What are the Factors of 3673?

Answer: Factors of 3673 are 1, 3673. There are 2 integers that are factors of 3673. The greatest factor of 3673 is 3673.

4. How to Find the GCF of 3667 and 3673?

Answer:

Greatest Common Factor of 3667 and 3673 = 1

Step 1: Find the prime factorization of 3667

3667 = 19 x 193

Step 2: Find the prime factorization of 3673

3673 = 3673

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 3667 and 3673 is 1