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 3360, 3364 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3360 and 3364 is 4.
GCF(3360,3364) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3360
2 | 3360 |
2 | 1680 |
2 | 840 |
2 | 420 |
2 | 210 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 3360 are 2,3,5,7. Prime factorization of 3360 in exponential form is:
3360 = 25×31×51×71
Prime Factorization of 3364
2 | 3364 |
2 | 1682 |
29 | 841 |
29 | 29 |
1 |
Prime factors of 3364 are 2,29. Prime factorization of 3364 in exponential form is:
3364 = 22×292
∴ So by taking common prime factors GCF of 3360 and 3364 is 4
Factors of 3360
List of positive integer factors of 3360 that divides 3360 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360
Factors of 3364
List of positive integer factors of 3364 that divides 3364 without a remainder.
1,2,4,29,58,116,841,1682,3364
Greatest Common Factor
We found the factors and prime factorization of 3360 and 3364. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3364 is 4.
Also check out the Least Common Multiple of 3360 and 3364
(i) The GCF of 3360 and 3364 is associative
GCF of 3360 and 3364 = GCF of 3364 and 3360
1. What is the GCF of 3360 and 3364?
Answer: GCF of 3360 and 3364 is 4.
2. What are the Factors of 3360?
Answer: Factors of 3360 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, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. There are 48 integers that are factors of 3360. The greatest factor of 3360 is 3360.
3. What are the Factors of 3364?
Answer: Factors of 3364 are 1, 2, 4, 29, 58, 116, 841, 1682, 3364. There are 9 integers that are factors of 3364. The greatest factor of 3364 is 3364.
4. How to Find the GCF of 3360 and 3364?
Answer:
Greatest Common Factor of 3360 and 3364 = 4
Step 1: Find the prime factorization of 3360
3360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7
Step 2: Find the prime factorization of 3364
3364 = 2 x 2 x 29 x 29
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 3360 and 3364 is 4