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 334, 337 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 334 and 337 is 1.
GCF(334,337) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 334
2 | 334 |
167 | 167 |
1 |
Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:
334 = 21×1671
Prime Factorization of 337
337 | 337 |
1 |
Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:
337 = 3371
∴ So by taking common prime factors GCF of 334 and 337 is 1
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors and prime factorization of 334 and 337. The biggest common factor number is the GCF number.
So the greatest common factor 334 and 337 is 1.
Also check out the Least Common Multiple of 334 and 337
(i) The GCF of 334 and 337 is associative
GCF of 334 and 337 = GCF of 337 and 334
1. What is the GCF of 334 and 337?
Answer: GCF of 334 and 337 is 1.
2. What are the Factors of 334?
Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.
3. What are the Factors of 337?
Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.
4. How to Find the GCF of 334 and 337?
Answer:
Greatest Common Factor of 334 and 337 = 1
Step 1: Find the prime factorization of 334
334 = 2 x 167
Step 2: Find the prime factorization of 337
337 = 337
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 334 and 337 is 1