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 2637, 2645 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2637 and 2645 is 1.
GCF(2637,2645) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2637
3 | 2637 |
3 | 879 |
293 | 293 |
1 |
Prime factors of 2637 are 3,293. Prime factorization of 2637 in exponential form is:
2637 = 32×2931
Prime Factorization of 2645
5 | 2645 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 2645 are 5,23. Prime factorization of 2645 in exponential form is:
2645 = 51×232
∴ So by taking common prime factors GCF of 2637 and 2645 is 1
Factors of 2637
List of positive integer factors of 2637 that divides 2637 without a remainder.
1,3,9,293,879,2637
Factors of 2645
List of positive integer factors of 2645 that divides 2645 without a remainder.
1,5,23,115,529,2645
Greatest Common Factor
We found the factors and prime factorization of 2637 and 2645. The biggest common factor number is the GCF number.
So the greatest common factor 2637 and 2645 is 1.
Also check out the Least Common Multiple of 2637 and 2645
(i) The GCF of 2637 and 2645 is associative
GCF of 2637 and 2645 = GCF of 2645 and 2637
1. What is the GCF of 2637 and 2645?
Answer: GCF of 2637 and 2645 is 1.
2. What are the Factors of 2637?
Answer: Factors of 2637 are 1, 3, 9, 293, 879, 2637. There are 6 integers that are factors of 2637. The greatest factor of 2637 is 2637.
3. What are the Factors of 2645?
Answer: Factors of 2645 are 1, 5, 23, 115, 529, 2645. There are 6 integers that are factors of 2645. The greatest factor of 2645 is 2645.
4. How to Find the GCF of 2637 and 2645?
Answer:
Greatest Common Factor of 2637 and 2645 = 1
Step 1: Find the prime factorization of 2637
2637 = 3 x 3 x 293
Step 2: Find the prime factorization of 2645
2645 = 5 x 23 x 23
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 2637 and 2645 is 1