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 3434, 3435 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3434 and 3435 is 1.
GCF(3434,3435) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3434
2 | 3434 |
17 | 1717 |
101 | 101 |
1 |
Prime factors of 3434 are 2,17,101. Prime factorization of 3434 in exponential form is:
3434 = 21×171×1011
Prime Factorization of 3435
3 | 3435 |
5 | 1145 |
229 | 229 |
1 |
Prime factors of 3435 are 3,5,229. Prime factorization of 3435 in exponential form is:
3435 = 31×51×2291
∴ So by taking common prime factors GCF of 3434 and 3435 is 1
Factors of 3434
List of positive integer factors of 3434 that divides 3434 without a remainder.
1,2,17,34,101,202,1717,3434
Factors of 3435
List of positive integer factors of 3435 that divides 3435 without a remainder.
1,3,5,15,229,687,1145,3435
Greatest Common Factor
We found the factors and prime factorization of 3434 and 3435. The biggest common factor number is the GCF number.
So the greatest common factor 3434 and 3435 is 1.
Also check out the Least Common Multiple of 3434 and 3435
(i) The GCF of 3434 and 3435 is associative
GCF of 3434 and 3435 = GCF of 3435 and 3434
1. What is the GCF of 3434 and 3435?
Answer: GCF of 3434 and 3435 is 1.
2. What are the Factors of 3434?
Answer: Factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434. There are 8 integers that are factors of 3434. The greatest factor of 3434 is 3434.
3. What are the Factors of 3435?
Answer: Factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435. There are 8 integers that are factors of 3435. The greatest factor of 3435 is 3435.
4. How to Find the GCF of 3434 and 3435?
Answer:
Greatest Common Factor of 3434 and 3435 = 1
Step 1: Find the prime factorization of 3434
3434 = 2 x 17 x 101
Step 2: Find the prime factorization of 3435
3435 = 3 x 5 x 229
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 3434 and 3435 is 1