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 3431, 3439 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3431 and 3439 is 1.
GCF(3431,3439) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3431
47 | 3431 |
73 | 73 |
1 |
Prime factors of 3431 are 47,73. Prime factorization of 3431 in exponential form is:
3431 = 471×731
Prime Factorization of 3439
19 | 3439 |
181 | 181 |
1 |
Prime factors of 3439 are 19,181. Prime factorization of 3439 in exponential form is:
3439 = 191×1811
∴ So by taking common prime factors GCF of 3431 and 3439 is 1
Factors of 3431
List of positive integer factors of 3431 that divides 3431 without a remainder.
1,47,73,3431
Factors of 3439
List of positive integer factors of 3439 that divides 3439 without a remainder.
1,19,181,3439
Greatest Common Factor
We found the factors and prime factorization of 3431 and 3439. The biggest common factor number is the GCF number.
So the greatest common factor 3431 and 3439 is 1.
Also check out the Least Common Multiple of 3431 and 3439
(i) The GCF of 3431 and 3439 is associative
GCF of 3431 and 3439 = GCF of 3439 and 3431
1. What is the GCF of 3431 and 3439?
Answer: GCF of 3431 and 3439 is 1.
2. What are the Factors of 3431?
Answer: Factors of 3431 are 1, 47, 73, 3431. There are 4 integers that are factors of 3431. The greatest factor of 3431 is 3431.
3. What are the Factors of 3439?
Answer: Factors of 3439 are 1, 19, 181, 3439. There are 4 integers that are factors of 3439. The greatest factor of 3439 is 3439.
4. How to Find the GCF of 3431 and 3439?
Answer:
Greatest Common Factor of 3431 and 3439 = 1
Step 1: Find the prime factorization of 3431
3431 = 47 x 73
Step 2: Find the prime factorization of 3439
3439 = 19 x 181
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 3431 and 3439 is 1