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 2639, 2646 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2639 and 2646 is 7.
GCF(2639,2646) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2639
7 | 2639 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 2639 are 7,13,29. Prime factorization of 2639 in exponential form is:
2639 = 71×131×291
Prime Factorization of 2646
2 | 2646 |
3 | 1323 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 2646 are 2,3,7. Prime factorization of 2646 in exponential form is:
2646 = 21×33×72
∴ So by taking common prime factors GCF of 2639 and 2646 is 7
Factors of 2639
List of positive integer factors of 2639 that divides 2639 without a remainder.
1,7,13,29,91,203,377,2639
Factors of 2646
List of positive integer factors of 2646 that divides 2646 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646
Greatest Common Factor
We found the factors and prime factorization of 2639 and 2646. The biggest common factor number is the GCF number.
So the greatest common factor 2639 and 2646 is 7.
Also check out the Least Common Multiple of 2639 and 2646
(i) The GCF of 2639 and 2646 is associative
GCF of 2639 and 2646 = GCF of 2646 and 2639
1. What is the GCF of 2639 and 2646?
Answer: GCF of 2639 and 2646 is 7.
2. What are the Factors of 2639?
Answer: Factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639. There are 8 integers that are factors of 2639. The greatest factor of 2639 is 2639.
3. What are the Factors of 2646?
Answer: Factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646. There are 24 integers that are factors of 2646. The greatest factor of 2646 is 2646.
4. How to Find the GCF of 2639 and 2646?
Answer:
Greatest Common Factor of 2639 and 2646 = 7
Step 1: Find the prime factorization of 2639
2639 = 7 x 13 x 29
Step 2: Find the prime factorization of 2646
2646 = 2 x 3 x 3 x 3 x 7 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2639 and 2646 is 7