Greatest Common Factor of 640 and 642

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

Greatest common factor (GCF) of 640 and 642 is 2.

GCF(640,642) = 2

GCF of 640 and 642

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

GCF of:
and

Greatest Common Factor of 640 and 642

GCF of 640 and 642 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 642


2 642
3 321
107 107
1

Prime factors of 642 are 2,3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

∴ So by taking common prime factors GCF of 640 and 642 is 2

Greatest Common Factor of 640 and 642 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors and prime factorization of 640 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 640 and 642 is 2.

Also check out the Least Common Multiple of 640 and 642

Properties of GCF 640 and 642

(i) The GCF of 640 and 642 is associative

GCF of 640 and 642 = GCF of 642 and 640

Related Greatest Common Factor of 640

Related Greatest Common Factor of 642

Frequently Asked Questions on GCF of 640 and 642

1. What is the GCF of 640 and 642?

Answer: GCF of 640 and 642 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 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

4. How to Find the GCF of 640 and 642?

Answer:

Greatest Common Factor of 640 and 642 = 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 642

642 = 2 x 3 x 107

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 642 is 2