Greatest Common Factor of 720 and 722

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 720, 722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 720 and 722 is 2.

GCF(720,722) = 2

GCF of 720 and 722

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

GCF of:
and

Greatest Common Factor of 720 and 722

GCF of 720 and 722 is 2

Prime Factorization of 720


2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 720 are 2,3,5. Prime factorization of 720 in exponential form is:

720 = 24×32×51

Prime Factorization of 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

∴ So by taking common prime factors GCF of 720 and 722 is 2

Greatest Common Factor of 720 and 722 by matching factors method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors and prime factorization of 720 and 722. The biggest common factor number is the GCF number.
So the greatest common factor 720 and 722 is 2.

Also check out the Least Common Multiple of 720 and 722

Properties of GCF 720 and 722

(i) The GCF of 720 and 722 is associative

GCF of 720 and 722 = GCF of 722 and 720

Related Greatest Common Factor of 720

Related Greatest Common Factor of 722

Frequently Asked Questions on GCF of 720 and 722

1. What is the GCF of 720 and 722?

Answer: GCF of 720 and 722 is 2.

2. What are the Factors of 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

3. What are the Factors of 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

4. How to Find the GCF of 720 and 722?

Answer:

Greatest Common Factor of 720 and 722 = 2

Step 1: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 722

722 = 2 x 19 x 19

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 720 and 722 is 2