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 3385, 3392 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3385 and 3392 is 1.
GCF(3385,3392) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3385
5 | 3385 |
677 | 677 |
1 |
Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:
3385 = 51×6771
Prime Factorization of 3392
2 | 3392 |
2 | 1696 |
2 | 848 |
2 | 424 |
2 | 212 |
2 | 106 |
53 | 53 |
1 |
Prime factors of 3392 are 2,53. Prime factorization of 3392 in exponential form is:
3392 = 26×531
∴ So by taking common prime factors GCF of 3385 and 3392 is 1
Factors of 3385
List of positive integer factors of 3385 that divides 3385 without a remainder.
1,5,677,3385
Factors of 3392
List of positive integer factors of 3392 that divides 3392 without a remainder.
1,2,4,8,16,32,53,64,106,212,424,848,1696,3392
Greatest Common Factor
We found the factors and prime factorization of 3385 and 3392. The biggest common factor number is the GCF number.
So the greatest common factor 3385 and 3392 is 1.
Also check out the Least Common Multiple of 3385 and 3392
(i) The GCF of 3385 and 3392 is associative
GCF of 3385 and 3392 = GCF of 3392 and 3385
1. What is the GCF of 3385 and 3392?
Answer: GCF of 3385 and 3392 is 1.
2. What are the Factors of 3385?
Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.
3. What are the Factors of 3392?
Answer: Factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392. There are 14 integers that are factors of 3392. The greatest factor of 3392 is 3392.
4. How to Find the GCF of 3385 and 3392?
Answer:
Greatest Common Factor of 3385 and 3392 = 1
Step 1: Find the prime factorization of 3385
3385 = 5 x 677
Step 2: Find the prime factorization of 3392
3392 = 2 x 2 x 2 x 2 x 2 x 2 x 53
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 3385 and 3392 is 1