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 2602, 2609 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2602 and 2609 is 1.
GCF(2602,2609) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2602
2 | 2602 |
1301 | 1301 |
1 |
Prime factors of 2602 are 2,1301. Prime factorization of 2602 in exponential form is:
2602 = 21×13011
Prime Factorization of 2609
2609 | 2609 |
1 |
Prime factors of 2609 are 2609. Prime factorization of 2609 in exponential form is:
2609 = 26091
∴ So by taking common prime factors GCF of 2602 and 2609 is 1
Factors of 2602
List of positive integer factors of 2602 that divides 2602 without a remainder.
1,2,1301,2602
Factors of 2609
List of positive integer factors of 2609 that divides 2609 without a remainder.
1,2609
Greatest Common Factor
We found the factors and prime factorization of 2602 and 2609. The biggest common factor number is the GCF number.
So the greatest common factor 2602 and 2609 is 1.
Also check out the Least Common Multiple of 2602 and 2609
(i) The GCF of 2602 and 2609 is associative
GCF of 2602 and 2609 = GCF of 2609 and 2602
1. What is the GCF of 2602 and 2609?
Answer: GCF of 2602 and 2609 is 1.
2. What are the Factors of 2602?
Answer: Factors of 2602 are 1, 2, 1301, 2602. There are 4 integers that are factors of 2602. The greatest factor of 2602 is 2602.
3. What are the Factors of 2609?
Answer: Factors of 2609 are 1, 2609. There are 2 integers that are factors of 2609. The greatest factor of 2609 is 2609.
4. How to Find the GCF of 2602 and 2609?
Answer:
Greatest Common Factor of 2602 and 2609 = 1
Step 1: Find the prime factorization of 2602
2602 = 2 x 1301
Step 2: Find the prime factorization of 2609
2609 = 2609
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 2602 and 2609 is 1