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 6716, 6720 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6716 and 6720 is 4.
GCF(6716,6720) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6716
2 | 6716 |
2 | 3358 |
23 | 1679 |
73 | 73 |
1 |
Prime factors of 6716 are 2,23,73. Prime factorization of 6716 in exponential form is:
6716 = 22×231×731
Prime Factorization of 6720
2 | 6720 |
2 | 3360 |
2 | 1680 |
2 | 840 |
2 | 420 |
2 | 210 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 6720 are 2,3,5,7. Prime factorization of 6720 in exponential form is:
6720 = 26×31×51×71
∴ So by taking common prime factors GCF of 6716 and 6720 is 4
Factors of 6716
List of positive integer factors of 6716 that divides 6716 without a remainder.
1,2,4,23,46,73,92,146,292,1679,3358,6716
Factors of 6720
List of positive integer factors of 6720 that divides 6720 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors and prime factorization of 6716 and 6720. The biggest common factor number is the GCF number.
So the greatest common factor 6716 and 6720 is 4.
Also check out the Least Common Multiple of 6716 and 6720
(i) The GCF of 6716 and 6720 is associative
GCF of 6716 and 6720 = GCF of 6720 and 6716
1. What is the GCF of 6716 and 6720?
Answer: GCF of 6716 and 6720 is 4.
2. What are the Factors of 6716?
Answer: Factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716. There are 12 integers that are factors of 6716. The greatest factor of 6716 is 6716.
3. What are the Factors of 6720?
Answer: Factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720. There are 56 integers that are factors of 6720. The greatest factor of 6720 is 6720.
4. How to Find the GCF of 6716 and 6720?
Answer:
Greatest Common Factor of 6716 and 6720 = 4
Step 1: Find the prime factorization of 6716
6716 = 2 x 2 x 23 x 73
Step 2: Find the prime factorization of 6720
6720 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7
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 6716 and 6720 is 4