Greatest Common Factor of 650 and 656

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 650, 656 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 650 and 656 is 2.

GCF(650,656) = 2

GCF of 650 and 656

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

GCF of:
and

Greatest Common Factor of 650 and 656

GCF of 650 and 656 is 2

Prime Factorization of 650


2 650
5 325
5 65
13 13
1

Prime factors of 650 are 2,5,13. Prime factorization of 650 in exponential form is:

650 = 21×52×131

Prime Factorization of 656


2 656
2 328
2 164
2 82
41 41
1

Prime factors of 656 are 2,41. Prime factorization of 656 in exponential form is:

656 = 24×411

∴ So by taking common prime factors GCF of 650 and 656 is 2

Greatest Common Factor of 650 and 656 by matching factors method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors and prime factorization of 650 and 656. The biggest common factor number is the GCF number.
So the greatest common factor 650 and 656 is 2.

Also check out the Least Common Multiple of 650 and 656

Properties of GCF 650 and 656

(i) The GCF of 650 and 656 is associative

GCF of 650 and 656 = GCF of 656 and 650

Related Greatest Common Factor of 650

Related Greatest Common Factor of 656

Frequently Asked Questions on GCF of 650 and 656

1. What is the GCF of 650 and 656?

Answer: GCF of 650 and 656 is 2.

2. What are the Factors of 650?

Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.

3. What are the Factors of 656?

Answer: Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. There are 10 integers that are factors of 656. The greatest factor of 656 is 656.

4. How to Find the GCF of 650 and 656?

Answer:

Greatest Common Factor of 650 and 656 = 2

Step 1: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 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 650 and 656 is 2