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 719, 720 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 719 and 720 is 1.
GCF(719,720) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 719
719 | 719 |
1 |
Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:
719 = 7191
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.Prime factorization of 720 in exponential form is:
720 = 24×32×51
∴ So by taking common prime factors GCF of 719 and 720 is 1
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
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
Greatest Common Factor
We found the factors and prime factorization of 719 and 720. The biggest common factor number is the GCF number.
So the greatest common factor 719 and 720 is 1.
Also check out the Least Common Multiple of 719 and 720
(i) The GCF of 719 and 720 is associative
GCF of 719 and 720 = GCF of 720 and 719
1. What is the GCF of 719 and 720?
Answer: GCF of 719 and 720 is 1.
2. What are the Factors of 719?
Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.
3. 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.
4. How to Find the GCF of 719 and 720?
Answer:
Greatest Common Factor of 719 and 720 = 1
Step 1: Find the prime factorization of 719
719 = 719
Step 2: Find the prime factorization of 720
720 = 2 x 2 x 2 x 2 x 3 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 719 and 720 is 1