Greatest Common Factor of 648 and 650

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 648, 650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 648 and 650 is 2.

GCF(648,650) = 2

GCF of 648 and 650

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

GCF of:
and

Greatest Common Factor of 648 and 650

GCF of 648 and 650 is 2

Prime Factorization of 648


2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 648 are 2,3. Prime factorization of 648 in exponential form is:

648 = 23×34

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

∴ So by taking common prime factors GCF of 648 and 650 is 2

Greatest Common Factor of 648 and 650 by matching factors method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

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

Greatest Common Factor

We found the factors and prime factorization of 648 and 650. The biggest common factor number is the GCF number.
So the greatest common factor 648 and 650 is 2.

Also check out the Least Common Multiple of 648 and 650

Properties of GCF 648 and 650

(i) The GCF of 648 and 650 is associative

GCF of 648 and 650 = GCF of 650 and 648

Related Greatest Common Factor of 648

Related Greatest Common Factor of 650

Frequently Asked Questions on GCF of 648 and 650

1. What is the GCF of 648 and 650?

Answer: GCF of 648 and 650 is 2.

2. What are the Factors of 648?

Answer: Factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648. There are 20 integers that are factors of 648. The greatest factor of 648 is 648.

3. 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.

4. How to Find the GCF of 648 and 650?

Answer:

Greatest Common Factor of 648 and 650 = 2

Step 1: Find the prime factorization of 648

648 = 2 x 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

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 648 and 650 is 2