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 336, 341 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 336 and 341 is 1.
GCF(336,341) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 336
2 | 336 |
2 | 168 |
2 | 84 |
2 | 42 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 336 are 2,3,7. Prime factorization of 336 in exponential form is:
336 = 24×31×71
Prime Factorization of 341
11 | 341 |
31 | 31 |
1 |
Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:
341 = 111×311
∴ So by taking common prime factors GCF of 336 and 341 is 1
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors and prime factorization of 336 and 341. The biggest common factor number is the GCF number.
So the greatest common factor 336 and 341 is 1.
Also check out the Least Common Multiple of 336 and 341
(i) The GCF of 336 and 341 is associative
GCF of 336 and 341 = GCF of 341 and 336
1. What is the GCF of 336 and 341?
Answer: GCF of 336 and 341 is 1.
2. What are the Factors of 336?
Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.
3. What are the Factors of 341?
Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.
4. How to Find the GCF of 336 and 341?
Answer:
Greatest Common Factor of 336 and 341 = 1
Step 1: Find the prime factorization of 336
336 = 2 x 2 x 2 x 2 x 3 x 7
Step 2: Find the prime factorization of 341
341 = 11 x 31
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 336 and 341 is 1