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 3505, 3508 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3505 and 3508 is 1.
GCF(3505,3508) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3505
5 | 3505 |
701 | 701 |
1 |
Prime factors of 3505 are 5,701. Prime factorization of 3505 in exponential form is:
3505 = 51×7011
Prime Factorization of 3508
2 | 3508 |
2 | 1754 |
877 | 877 |
1 |
Prime factors of 3508 are 2,877. Prime factorization of 3508 in exponential form is:
3508 = 22×8771
∴ So by taking common prime factors GCF of 3505 and 3508 is 1
Factors of 3505
List of positive integer factors of 3505 that divides 3505 without a remainder.
1,5,701,3505
Factors of 3508
List of positive integer factors of 3508 that divides 3508 without a remainder.
1,2,4,877,1754,3508
Greatest Common Factor
We found the factors and prime factorization of 3505 and 3508. The biggest common factor number is the GCF number.
So the greatest common factor 3505 and 3508 is 1.
Also check out the Least Common Multiple of 3505 and 3508
(i) The GCF of 3505 and 3508 is associative
GCF of 3505 and 3508 = GCF of 3508 and 3505
1. What is the GCF of 3505 and 3508?
Answer: GCF of 3505 and 3508 is 1.
2. What are the Factors of 3505?
Answer: Factors of 3505 are 1, 5, 701, 3505. There are 4 integers that are factors of 3505. The greatest factor of 3505 is 3505.
3. What are the Factors of 3508?
Answer: Factors of 3508 are 1, 2, 4, 877, 1754, 3508. There are 6 integers that are factors of 3508. The greatest factor of 3508 is 3508.
4. How to Find the GCF of 3505 and 3508?
Answer:
Greatest Common Factor of 3505 and 3508 = 1
Step 1: Find the prime factorization of 3505
3505 = 5 x 701
Step 2: Find the prime factorization of 3508
3508 = 2 x 2 x 877
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 3505 and 3508 is 1