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 3418, 3423 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3418 and 3423 is 1.
GCF(3418,3423) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3418
2 | 3418 |
1709 | 1709 |
1 |
Prime factors of 3418 are 2,1709. Prime factorization of 3418 in exponential form is:
3418 = 21×17091
Prime Factorization of 3423
3 | 3423 |
7 | 1141 |
163 | 163 |
1 |
Prime factors of 3423 are 3,7,163. Prime factorization of 3423 in exponential form is:
3423 = 31×71×1631
∴ So by taking common prime factors GCF of 3418 and 3423 is 1
Factors of 3418
List of positive integer factors of 3418 that divides 3418 without a remainder.
1,2,1709,3418
Factors of 3423
List of positive integer factors of 3423 that divides 3423 without a remainder.
1,3,7,21,163,489,1141,3423
Greatest Common Factor
We found the factors and prime factorization of 3418 and 3423. The biggest common factor number is the GCF number.
So the greatest common factor 3418 and 3423 is 1.
Also check out the Least Common Multiple of 3418 and 3423
(i) The GCF of 3418 and 3423 is associative
GCF of 3418 and 3423 = GCF of 3423 and 3418
1. What is the GCF of 3418 and 3423?
Answer: GCF of 3418 and 3423 is 1.
2. What are the Factors of 3418?
Answer: Factors of 3418 are 1, 2, 1709, 3418. There are 4 integers that are factors of 3418. The greatest factor of 3418 is 3418.
3. What are the Factors of 3423?
Answer: Factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423. There are 8 integers that are factors of 3423. The greatest factor of 3423 is 3423.
4. How to Find the GCF of 3418 and 3423?
Answer:
Greatest Common Factor of 3418 and 3423 = 1
Step 1: Find the prime factorization of 3418
3418 = 2 x 1709
Step 2: Find the prime factorization of 3423
3423 = 3 x 7 x 163
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 3418 and 3423 is 1