Greatest Common Factor of 640 and 646

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 640, 646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 640 and 646 is 2.

GCF(640,646) = 2

GCF of 640 and 646

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

GCF of:
and

Greatest Common Factor of 640 and 646

GCF of 640 and 646 is 2

Prime Factorization of 640


2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 640 are 2,5. Prime factorization of 640 in exponential form is:

640 = 27×51

Prime Factorization of 646


2 646
17 323
19 19
1

Prime factors of 646 are 2,17,19. Prime factorization of 646 in exponential form is:

646 = 21×171×191

∴ So by taking common prime factors GCF of 640 and 646 is 2

Greatest Common Factor of 640 and 646 by matching factors method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors and prime factorization of 640 and 646. The biggest common factor number is the GCF number.
So the greatest common factor 640 and 646 is 2.

Also check out the Least Common Multiple of 640 and 646

Properties of GCF 640 and 646

(i) The GCF of 640 and 646 is associative

GCF of 640 and 646 = GCF of 646 and 640

Related Greatest Common Factor of 640

Related Greatest Common Factor of 646

Frequently Asked Questions on GCF of 640 and 646

1. What is the GCF of 640 and 646?

Answer: GCF of 640 and 646 is 2.

2. What are the Factors of 640?

Answer: Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. There are 16 integers that are factors of 640. The greatest factor of 640 is 640.

3. What are the Factors of 646?

Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.

4. How to Find the GCF of 640 and 646?

Answer:

Greatest Common Factor of 640 and 646 = 2

Step 1: Find the prime factorization of 640

640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 646

646 = 2 x 17 x 19

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 640 and 646 is 2