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 3376, 3379 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3376 and 3379 is 1.
GCF(3376,3379) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3376
2 | 3376 |
2 | 1688 |
2 | 844 |
2 | 422 |
211 | 211 |
1 |
Prime factors of 3376 are 2,211. Prime factorization of 3376 in exponential form is:
3376 = 24×2111
Prime Factorization of 3379
31 | 3379 |
109 | 109 |
1 |
Prime factors of 3379 are 31,109. Prime factorization of 3379 in exponential form is:
3379 = 311×1091
∴ So by taking common prime factors GCF of 3376 and 3379 is 1
Factors of 3376
List of positive integer factors of 3376 that divides 3376 without a remainder.
1,2,4,8,16,211,422,844,1688,3376
Factors of 3379
List of positive integer factors of 3379 that divides 3379 without a remainder.
1,31,109,3379
Greatest Common Factor
We found the factors and prime factorization of 3376 and 3379. The biggest common factor number is the GCF number.
So the greatest common factor 3376 and 3379 is 1.
Also check out the Least Common Multiple of 3376 and 3379
(i) The GCF of 3376 and 3379 is associative
GCF of 3376 and 3379 = GCF of 3379 and 3376
1. What is the GCF of 3376 and 3379?
Answer: GCF of 3376 and 3379 is 1.
2. What are the Factors of 3376?
Answer: Factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376. There are 10 integers that are factors of 3376. The greatest factor of 3376 is 3376.
3. What are the Factors of 3379?
Answer: Factors of 3379 are 1, 31, 109, 3379. There are 4 integers that are factors of 3379. The greatest factor of 3379 is 3379.
4. How to Find the GCF of 3376 and 3379?
Answer:
Greatest Common Factor of 3376 and 3379 = 1
Step 1: Find the prime factorization of 3376
3376 = 2 x 2 x 2 x 2 x 211
Step 2: Find the prime factorization of 3379
3379 = 31 x 109
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 3376 and 3379 is 1