Greatest Common Factor of 1634 and 1640

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 1634, 1640 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1634 and 1640 is 2.

GCF(1634,1640) = 2

GCF of 1634 and 1640

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

GCF of:
and

Greatest Common Factor of 1634 and 1640

GCF of 1634 and 1640 is 2

Prime Factorization of 1634


2 1634
19 817
43 43
1

Prime factors of 1634 are 2,19,43. Prime factorization of 1634 in exponential form is:

1634 = 21×191×431

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

∴ So by taking common prime factors GCF of 1634 and 1640 is 2

Greatest Common Factor of 1634 and 1640 by matching factors method

Factors of 1634

List of positive integer factors of 1634 that divides 1634 without a remainder.

1,2,19,38,43,86,817,1634

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

Greatest Common Factor

We found the factors and prime factorization of 1634 and 1640. The biggest common factor number is the GCF number.
So the greatest common factor 1634 and 1640 is 2.

Also check out the Least Common Multiple of 1634 and 1640

Properties of GCF 1634 and 1640

(i) The GCF of 1634 and 1640 is associative

GCF of 1634 and 1640 = GCF of 1640 and 1634

Related Greatest Common Factor of 1634

Related Greatest Common Factor of 1640

Frequently Asked Questions on GCF of 1634 and 1640

1. What is the GCF of 1634 and 1640?

Answer: GCF of 1634 and 1640 is 2.

2. What are the Factors of 1634?

Answer: Factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634. There are 8 integers that are factors of 1634. The greatest factor of 1634 is 1634.

3. 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.

4. How to Find the GCF of 1634 and 1640?

Answer:

Greatest Common Factor of 1634 and 1640 = 2

Step 1: Find the prime factorization of 1634

1634 = 2 x 19 x 43

Step 2: Find the prime factorization of 1640

1640 = 2 x 2 x 2 x 5 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1634 and 1640 is 2