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 2601, 2606 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2601 and 2606 is 1.
GCF(2601,2606) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2601
3 | 2601 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 2601 are 3,17. Prime factorization of 2601 in exponential form is:
2601 = 32×172
Prime Factorization of 2606
2 | 2606 |
1303 | 1303 |
1 |
Prime factors of 2606 are 2,1303. Prime factorization of 2606 in exponential form is:
2606 = 21×13031
∴ So by taking common prime factors GCF of 2601 and 2606 is 1
Factors of 2601
List of positive integer factors of 2601 that divides 2601 without a remainder.
1,3,9,17,51,153,289,867,2601
Factors of 2606
List of positive integer factors of 2606 that divides 2606 without a remainder.
1,2,1303,2606
Greatest Common Factor
We found the factors and prime factorization of 2601 and 2606. The biggest common factor number is the GCF number.
So the greatest common factor 2601 and 2606 is 1.
Also check out the Least Common Multiple of 2601 and 2606
(i) The GCF of 2601 and 2606 is associative
GCF of 2601 and 2606 = GCF of 2606 and 2601
1. What is the GCF of 2601 and 2606?
Answer: GCF of 2601 and 2606 is 1.
2. What are the Factors of 2601?
Answer: Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601. There are 9 integers that are factors of 2601. The greatest factor of 2601 is 2601.
3. What are the Factors of 2606?
Answer: Factors of 2606 are 1, 2, 1303, 2606. There are 4 integers that are factors of 2606. The greatest factor of 2606 is 2606.
4. How to Find the GCF of 2601 and 2606?
Answer:
Greatest Common Factor of 2601 and 2606 = 1
Step 1: Find the prime factorization of 2601
2601 = 3 x 3 x 17 x 17
Step 2: Find the prime factorization of 2606
2606 = 2 x 1303
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 2601 and 2606 is 1