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 3506, 3513 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3506 and 3513 is 1.
GCF(3506,3513) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3506
2 | 3506 |
1753 | 1753 |
1 |
Prime factors of 3506 are 2,1753. Prime factorization of 3506 in exponential form is:
3506 = 21×17531
Prime Factorization of 3513
3 | 3513 |
1171 | 1171 |
1 |
Prime factors of 3513 are 3,1171. Prime factorization of 3513 in exponential form is:
3513 = 31×11711
∴ So by taking common prime factors GCF of 3506 and 3513 is 1
Factors of 3506
List of positive integer factors of 3506 that divides 3506 without a remainder.
1,2,1753,3506
Factors of 3513
List of positive integer factors of 3513 that divides 3513 without a remainder.
1,3,1171,3513
Greatest Common Factor
We found the factors and prime factorization of 3506 and 3513. The biggest common factor number is the GCF number.
So the greatest common factor 3506 and 3513 is 1.
Also check out the Least Common Multiple of 3506 and 3513
(i) The GCF of 3506 and 3513 is associative
GCF of 3506 and 3513 = GCF of 3513 and 3506
1. What is the GCF of 3506 and 3513?
Answer: GCF of 3506 and 3513 is 1.
2. What are the Factors of 3506?
Answer: Factors of 3506 are 1, 2, 1753, 3506. There are 4 integers that are factors of 3506. The greatest factor of 3506 is 3506.
3. What are the Factors of 3513?
Answer: Factors of 3513 are 1, 3, 1171, 3513. There are 4 integers that are factors of 3513. The greatest factor of 3513 is 3513.
4. How to Find the GCF of 3506 and 3513?
Answer:
Greatest Common Factor of 3506 and 3513 = 1
Step 1: Find the prime factorization of 3506
3506 = 2 x 1753
Step 2: Find the prime factorization of 3513
3513 = 3 x 1171
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 3506 and 3513 is 1