Greatest Common Factor of 1640 and 1647

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 1640, 1647 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1640 and 1647 is 1.

GCF(1640,1647) = 1

GCF of 1640 and 1647

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

GCF of:
and

Greatest Common Factor of 1640 and 1647

GCF of 1640 and 1647 is 1

Prime Factorization of 1640


2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 1640 are 2,5,41. Prime factorization of 1640 in exponential form is:

1640 = 23×51×411

Prime Factorization of 1647


3 1647
3 549
3 183
61 61
1

Prime factors of 1647 are 3,61. Prime factorization of 1647 in exponential form is:

1647 = 33×611

∴ So by taking common prime factors GCF of 1640 and 1647 is 1

Greatest Common Factor of 1640 and 1647 by matching factors method

Factors of 1640

List of positive integer factors of 1640 that divides 1640 without a remainder.

1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640

Factors of 1647

List of positive integer factors of 1647 that divides 1647 without a remainder.

1,3,9,27,61,183,549,1647

Greatest Common Factor

We found the factors and prime factorization of 1640 and 1647. The biggest common factor number is the GCF number.
So the greatest common factor 1640 and 1647 is 1.

Also check out the Least Common Multiple of 1640 and 1647

Properties of GCF 1640 and 1647

(i) The GCF of 1640 and 1647 is associative

GCF of 1640 and 1647 = GCF of 1647 and 1640

Related Greatest Common Factor of 1640

Related Greatest Common Factor of 1647

Frequently Asked Questions on GCF of 1640 and 1647

1. What is the GCF of 1640 and 1647?

Answer: GCF of 1640 and 1647 is 1.

2. What are the Factors of 1640?

Answer: Factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640. There are 16 integers that are factors of 1640. The greatest factor of 1640 is 1640.

3. What are the Factors of 1647?

Answer: Factors of 1647 are 1, 3, 9, 27, 61, 183, 549, 1647. There are 8 integers that are factors of 1647. The greatest factor of 1647 is 1647.

4. How to Find the GCF of 1640 and 1647?

Answer:

Greatest Common Factor of 1640 and 1647 = 1

Step 1: Find the prime factorization of 1640

1640 = 2 x 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 1647

1647 = 3 x 3 x 3 x 61

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 1640 and 1647 is 1