Greatest Common Factor of 3642 and 3647

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 3642, 3647 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3642 and 3647 is 1.

GCF(3642,3647) = 1

GCF of 3642 and 3647

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

GCF of:
and

Greatest Common Factor of 3642 and 3647

GCF of 3642 and 3647 is 1

Prime Factorization of 3642


2 3642
3 1821
607 607
1

Prime factors of 3642 are 2,3,607. Prime factorization of 3642 in exponential form is:

3642 = 21×31×6071

Prime Factorization of 3647


7 3647
521 521
1

Prime factors of 3647 are 7,521. Prime factorization of 3647 in exponential form is:

3647 = 71×5211

∴ So by taking common prime factors GCF of 3642 and 3647 is 1

Greatest Common Factor of 3642 and 3647 by matching factors method

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Greatest Common Factor

We found the factors and prime factorization of 3642 and 3647. The biggest common factor number is the GCF number.
So the greatest common factor 3642 and 3647 is 1.

Also check out the Least Common Multiple of 3642 and 3647

Properties of GCF 3642 and 3647

(i) The GCF of 3642 and 3647 is associative

GCF of 3642 and 3647 = GCF of 3647 and 3642

Related Greatest Common Factor of 3642

Related Greatest Common Factor of 3647

Frequently Asked Questions on GCF of 3642 and 3647

1. What is the GCF of 3642 and 3647?

Answer: GCF of 3642 and 3647 is 1.

2. What are the Factors of 3642?

Answer: Factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642. There are 8 integers that are factors of 3642. The greatest factor of 3642 is 3642.

3. What are the Factors of 3647?

Answer: Factors of 3647 are 1, 7, 521, 3647. There are 4 integers that are factors of 3647. The greatest factor of 3647 is 3647.

4. How to Find the GCF of 3642 and 3647?

Answer:

Greatest Common Factor of 3642 and 3647 = 1

Step 1: Find the prime factorization of 3642

3642 = 2 x 3 x 607

Step 2: Find the prime factorization of 3647

3647 = 7 x 521

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 3642 and 3647 is 1