Greatest Common Factor of 638 and 640

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 638, 640 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 638 and 640 is 2.

GCF(638,640) = 2

GCF of 638 and 640

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

GCF of:
and

Greatest Common Factor of 638 and 640

GCF of 638 and 640 is 2

Prime Factorization of 638


2 638
11 319
29 29
1

Prime factors of 638 are 2,11,29. Prime factorization of 638 in exponential form is:

638 = 21×111×291

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

∴ So by taking common prime factors GCF of 638 and 640 is 2

Greatest Common Factor of 638 and 640 by matching factors method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

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

Greatest Common Factor

We found the factors and prime factorization of 638 and 640. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 640 is 2.

Also check out the Least Common Multiple of 638 and 640

Properties of GCF 638 and 640

(i) The GCF of 638 and 640 is associative

GCF of 638 and 640 = GCF of 640 and 638

Related Greatest Common Factor of 638

Related Greatest Common Factor of 640

Frequently Asked Questions on GCF of 638 and 640

1. What is the GCF of 638 and 640?

Answer: GCF of 638 and 640 is 2.

2. What are the Factors of 638?

Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.

3. 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.

4. How to Find the GCF of 638 and 640?

Answer:

Greatest Common Factor of 638 and 640 = 2

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 640

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

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 638 and 640 is 2