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, 3425 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3418 and 3425 is 1.
GCF(3418,3425) = 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 3425
5 | 3425 |
5 | 685 |
137 | 137 |
1 |
Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:
3425 = 52×1371
∴ So by taking common prime factors GCF of 3418 and 3425 is 1
Factors of 3418
List of positive integer factors of 3418 that divides 3418 without a remainder.
1,2,1709,3418
Factors of 3425
List of positive integer factors of 3425 that divides 3425 without a remainder.
1,5,25,137,685,3425
Greatest Common Factor
We found the factors and prime factorization of 3418 and 3425. The biggest common factor number is the GCF number.
So the greatest common factor 3418 and 3425 is 1.
Also check out the Least Common Multiple of 3418 and 3425
(i) The GCF of 3418 and 3425 is associative
GCF of 3418 and 3425 = GCF of 3425 and 3418
1. What is the GCF of 3418 and 3425?
Answer: GCF of 3418 and 3425 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 3425?
Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.
4. How to Find the GCF of 3418 and 3425?
Answer:
Greatest Common Factor of 3418 and 3425 = 1
Step 1: Find the prime factorization of 3418
3418 = 2 x 1709
Step 2: Find the prime factorization of 3425
3425 = 5 x 5 x 137
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 3425 is 1