Greatest Common Factor of 634 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 634, 640 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 634 and 640 is 2.

GCF(634,640) = 2

GCF of 634 and 640

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

GCF of:
and

Greatest Common Factor of 634 and 640

GCF of 634 and 640 is 2

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

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 634 and 640 is 2

Greatest Common Factor of 634 and 640 by matching factors method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

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 634 and 640. The biggest common factor number is the GCF number.
So the greatest common factor 634 and 640 is 2.

Also check out the Least Common Multiple of 634 and 640

Properties of GCF 634 and 640

(i) The GCF of 634 and 640 is associative

GCF of 634 and 640 = GCF of 640 and 634

Related Greatest Common Factor of 634

Related Greatest Common Factor of 640

Frequently Asked Questions on GCF of 634 and 640

1. What is the GCF of 634 and 640?

Answer: GCF of 634 and 640 is 2.

2. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

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 634 and 640?

Answer:

Greatest Common Factor of 634 and 640 = 2

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 634 and 640 is 2