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, 724 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 720 and 724 is 4.
GCF(720,724) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 724
2 | 724 |
2 | 362 |
181 | 181 |
1 |
Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:
724 = 22×1811
∴ So by taking common prime factors GCF of 720 and 724 is 4
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 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors and prime factorization of 720 and 724. The biggest common factor number is the GCF number.
So the greatest common factor 720 and 724 is 4.
Also check out the Least Common Multiple of 720 and 724
(i) The GCF of 720 and 724 is associative
GCF of 720 and 724 = GCF of 724 and 720
1. What is the GCF of 720 and 724?
Answer: GCF of 720 and 724 is 4.
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 724?
Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.
4. How to Find the GCF of 720 and 724?
Answer:
Greatest Common Factor of 720 and 724 = 4
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 724
724 = 2 x 2 x 181
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 720 and 724 is 4