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 2644, 2649 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2644 and 2649 is 1.
GCF(2644,2649) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2644
2 | 2644 |
2 | 1322 |
661 | 661 |
1 |
Prime factors of 2644 are 2,661. Prime factorization of 2644 in exponential form is:
2644 = 22×6611
Prime Factorization of 2649
3 | 2649 |
883 | 883 |
1 |
Prime factors of 2649 are 3,883. Prime factorization of 2649 in exponential form is:
2649 = 31×8831
∴ So by taking common prime factors GCF of 2644 and 2649 is 1
Factors of 2644
List of positive integer factors of 2644 that divides 2644 without a remainder.
1,2,4,661,1322,2644
Factors of 2649
List of positive integer factors of 2649 that divides 2649 without a remainder.
1,3,883,2649
Greatest Common Factor
We found the factors and prime factorization of 2644 and 2649. The biggest common factor number is the GCF number.
So the greatest common factor 2644 and 2649 is 1.
Also check out the Least Common Multiple of 2644 and 2649
(i) The GCF of 2644 and 2649 is associative
GCF of 2644 and 2649 = GCF of 2649 and 2644
1. What is the GCF of 2644 and 2649?
Answer: GCF of 2644 and 2649 is 1.
2. What are the Factors of 2644?
Answer: Factors of 2644 are 1, 2, 4, 661, 1322, 2644. There are 6 integers that are factors of 2644. The greatest factor of 2644 is 2644.
3. What are the Factors of 2649?
Answer: Factors of 2649 are 1, 3, 883, 2649. There are 4 integers that are factors of 2649. The greatest factor of 2649 is 2649.
4. How to Find the GCF of 2644 and 2649?
Answer:
Greatest Common Factor of 2644 and 2649 = 1
Step 1: Find the prime factorization of 2644
2644 = 2 x 2 x 661
Step 2: Find the prime factorization of 2649
2649 = 3 x 883
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 2644 and 2649 is 1