Greatest Common Factor of 3647 and 3654

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 3647, 3654 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3647 and 3654 is 7.

GCF(3647,3654) = 7

GCF of 3647 and 3654

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

GCF of:
and

Greatest Common Factor of 3647 and 3654

GCF of 3647 and 3654 is 7

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

Prime Factorization of 3654


2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 3654 are 2,3,7,29. Prime factorization of 3654 in exponential form is:

3654 = 21×32×71×291

∴ So by taking common prime factors GCF of 3647 and 3654 is 7

Greatest Common Factor of 3647 and 3654 by matching factors method

Factors of 3647

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

1,7,521,3647

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors and prime factorization of 3647 and 3654. The biggest common factor number is the GCF number.
So the greatest common factor 3647 and 3654 is 7.

Also check out the Least Common Multiple of 3647 and 3654

Properties of GCF 3647 and 3654

(i) The GCF of 3647 and 3654 is associative

GCF of 3647 and 3654 = GCF of 3654 and 3647

Related Greatest Common Factor of 3647

Related Greatest Common Factor of 3654

Frequently Asked Questions on GCF of 3647 and 3654

1. What is the GCF of 3647 and 3654?

Answer: GCF of 3647 and 3654 is 7.

2. 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.

3. What are the Factors of 3654?

Answer: Factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654. There are 24 integers that are factors of 3654. The greatest factor of 3654 is 3654.

4. How to Find the GCF of 3647 and 3654?

Answer:

Greatest Common Factor of 3647 and 3654 = 7

Step 1: Find the prime factorization of 3647

3647 = 7 x 521

Step 2: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3647 and 3654 is 7