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 3328, 3332 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3328 and 3332 is 4.
GCF(3328,3332) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3328
2 | 3328 |
2 | 1664 |
2 | 832 |
2 | 416 |
2 | 208 |
2 | 104 |
2 | 52 |
2 | 26 |
13 | 13 |
1 |
Prime factors of 3328 are 2,13. Prime factorization of 3328 in exponential form is:
3328 = 28×131
Prime Factorization of 3332
2 | 3332 |
2 | 1666 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 3332 are 2,7,17. Prime factorization of 3332 in exponential form is:
3332 = 22×72×171
∴ So by taking common prime factors GCF of 3328 and 3332 is 4
Factors of 3328
List of positive integer factors of 3328 that divides 3328 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328
Factors of 3332
List of positive integer factors of 3332 that divides 3332 without a remainder.
1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332
Greatest Common Factor
We found the factors and prime factorization of 3328 and 3332. The biggest common factor number is the GCF number.
So the greatest common factor 3328 and 3332 is 4.
Also check out the Least Common Multiple of 3328 and 3332
(i) The GCF of 3328 and 3332 is associative
GCF of 3328 and 3332 = GCF of 3332 and 3328
1. What is the GCF of 3328 and 3332?
Answer: GCF of 3328 and 3332 is 4.
2. What are the Factors of 3328?
Answer: Factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328. There are 18 integers that are factors of 3328. The greatest factor of 3328 is 3328.
3. What are the Factors of 3332?
Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.
4. How to Find the GCF of 3328 and 3332?
Answer:
Greatest Common Factor of 3328 and 3332 = 4
Step 1: Find the prime factorization of 3328
3328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13
Step 2: Find the prime factorization of 3332
3332 = 2 x 2 x 7 x 7 x 17
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 3328 and 3332 is 4