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 332, 339 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 332 and 339 is 1.
GCF(332,339) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 332
2 | 332 |
2 | 166 |
83 | 83 |
1 |
Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:
332 = 22×831
Prime Factorization of 339
3 | 339 |
113 | 113 |
1 |
Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:
339 = 31×1131
∴ So by taking common prime factors GCF of 332 and 339 is 1
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors and prime factorization of 332 and 339. The biggest common factor number is the GCF number.
So the greatest common factor 332 and 339 is 1.
Also check out the Least Common Multiple of 332 and 339
(i) The GCF of 332 and 339 is associative
GCF of 332 and 339 = GCF of 339 and 332
1. What is the GCF of 332 and 339?
Answer: GCF of 332 and 339 is 1.
2. What are the Factors of 332?
Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.
3. What are the Factors of 339?
Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.
4. How to Find the GCF of 332 and 339?
Answer:
Greatest Common Factor of 332 and 339 = 1
Step 1: Find the prime factorization of 332
332 = 2 x 2 x 83
Step 2: Find the prime factorization of 339
339 = 3 x 113
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 332 and 339 is 1