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 3601, 3602 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3601 and 3602 is 1.
GCF(3601,3602) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3601
13 | 3601 |
277 | 277 |
1 |
Prime factors of 3601 are 13,277. Prime factorization of 3601 in exponential form is:
3601 = 131×2771
Prime Factorization of 3602
2 | 3602 |
1801 | 1801 |
1 |
Prime factors of 3602 are 2,1801. Prime factorization of 3602 in exponential form is:
3602 = 21×18011
∴ So by taking common prime factors GCF of 3601 and 3602 is 1
Factors of 3601
List of positive integer factors of 3601 that divides 3601 without a remainder.
1,13,277,3601
Factors of 3602
List of positive integer factors of 3602 that divides 3602 without a remainder.
1,2,1801,3602
Greatest Common Factor
We found the factors and prime factorization of 3601 and 3602. The biggest common factor number is the GCF number.
So the greatest common factor 3601 and 3602 is 1.
Also check out the Least Common Multiple of 3601 and 3602
(i) The GCF of 3601 and 3602 is associative
GCF of 3601 and 3602 = GCF of 3602 and 3601
1. What is the GCF of 3601 and 3602?
Answer: GCF of 3601 and 3602 is 1.
2. What are the Factors of 3601?
Answer: Factors of 3601 are 1, 13, 277, 3601. There are 4 integers that are factors of 3601. The greatest factor of 3601 is 3601.
3. What are the Factors of 3602?
Answer: Factors of 3602 are 1, 2, 1801, 3602. There are 4 integers that are factors of 3602. The greatest factor of 3602 is 3602.
4. How to Find the GCF of 3601 and 3602?
Answer:
Greatest Common Factor of 3601 and 3602 = 1
Step 1: Find the prime factorization of 3601
3601 = 13 x 277
Step 2: Find the prime factorization of 3602
3602 = 2 x 1801
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 3601 and 3602 is 1