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 3612, 3613 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3612 and 3613 is 1.
GCF(3612,3613) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3612
2 | 3612 |
2 | 1806 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 3612 are 2,3,7,43. Prime factorization of 3612 in exponential form is:
3612 = 22×31×71×431
Prime Factorization of 3613
3613 | 3613 |
1 |
Prime factors of 3613 are 3613. Prime factorization of 3613 in exponential form is:
3613 = 36131
∴ So by taking common prime factors GCF of 3612 and 3613 is 1
Factors of 3612
List of positive integer factors of 3612 that divides 3612 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Factors of 3613
List of positive integer factors of 3613 that divides 3613 without a remainder.
1,3613
Greatest Common Factor
We found the factors and prime factorization of 3612 and 3613. The biggest common factor number is the GCF number.
So the greatest common factor 3612 and 3613 is 1.
Also check out the Least Common Multiple of 3612 and 3613
(i) The GCF of 3612 and 3613 is associative
GCF of 3612 and 3613 = GCF of 3613 and 3612
1. What is the GCF of 3612 and 3613?
Answer: GCF of 3612 and 3613 is 1.
2. What are the Factors of 3612?
Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.
3. What are the Factors of 3613?
Answer: Factors of 3613 are 1, 3613. There are 2 integers that are factors of 3613. The greatest factor of 3613 is 3613.
4. How to Find the GCF of 3612 and 3613?
Answer:
Greatest Common Factor of 3612 and 3613 = 1
Step 1: Find the prime factorization of 3612
3612 = 2 x 2 x 3 x 7 x 43
Step 2: Find the prime factorization of 3613
3613 = 3613
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 3612 and 3613 is 1