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 337, 338 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 337 and 338 is 1.
GCF(337,338) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 337
337 | 337 |
1 |
Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:
337 = 3371
Prime Factorization of 338
2 | 338 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 338 are 2.Prime factorization of 338 in exponential form is:
338 = 21×132
∴ So by taking common prime factors GCF of 337 and 338 is 1
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors and prime factorization of 337 and 338. The biggest common factor number is the GCF number.
So the greatest common factor 337 and 338 is 1.
Also check out the Least Common Multiple of 337 and 338
(i) The GCF of 337 and 338 is associative
GCF of 337 and 338 = GCF of 338 and 337
1. What is the GCF of 337 and 338?
Answer: GCF of 337 and 338 is 1.
2. 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.
3. What are the Factors of 338?
Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.
4. How to Find the GCF of 337 and 338?
Answer:
Greatest Common Factor of 337 and 338 = 1
Step 1: Find the prime factorization of 337
337 = 337
Step 2: Find the prime factorization of 338
338 = 2 x 13 x 13
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 337 and 338 is 1