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 3530, 3535 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3530 and 3535 is 5.
GCF(3530,3535) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3530
2 | 3530 |
5 | 1765 |
353 | 353 |
1 |
Prime factors of 3530 are 2,5,353. Prime factorization of 3530 in exponential form is:
3530 = 21×51×3531
Prime Factorization of 3535
5 | 3535 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 3535 are 5,7,101. Prime factorization of 3535 in exponential form is:
3535 = 51×71×1011
∴ So by taking common prime factors GCF of 3530 and 3535 is 5
Factors of 3530
List of positive integer factors of 3530 that divides 3530 without a remainder.
1,2,5,10,353,706,1765,3530
Factors of 3535
List of positive integer factors of 3535 that divides 3535 without a remainder.
1,5,7,35,101,505,707,3535
Greatest Common Factor
We found the factors and prime factorization of 3530 and 3535. The biggest common factor number is the GCF number.
So the greatest common factor 3530 and 3535 is 5.
Also check out the Least Common Multiple of 3530 and 3535
(i) The GCF of 3530 and 3535 is associative
GCF of 3530 and 3535 = GCF of 3535 and 3530
1. What is the GCF of 3530 and 3535?
Answer: GCF of 3530 and 3535 is 5.
2. What are the Factors of 3530?
Answer: Factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530. There are 8 integers that are factors of 3530. The greatest factor of 3530 is 3530.
3. What are the Factors of 3535?
Answer: Factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535. There are 8 integers that are factors of 3535. The greatest factor of 3535 is 3535.
4. How to Find the GCF of 3530 and 3535?
Answer:
Greatest Common Factor of 3530 and 3535 = 5
Step 1: Find the prime factorization of 3530
3530 = 2 x 5 x 353
Step 2: Find the prime factorization of 3535
3535 = 5 x 7 x 101
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 3530 and 3535 is 5