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 2636, 2638 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2636 and 2638 is 2.
GCF(2636,2638) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2636
2 | 2636 |
2 | 1318 |
659 | 659 |
1 |
Prime factors of 2636 are 2,659. Prime factorization of 2636 in exponential form is:
2636 = 22×6591
Prime Factorization of 2638
2 | 2638 |
1319 | 1319 |
1 |
Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:
2638 = 21×13191
∴ So by taking common prime factors GCF of 2636 and 2638 is 2
Factors of 2636
List of positive integer factors of 2636 that divides 2636 without a remainder.
1,2,4,659,1318,2636
Factors of 2638
List of positive integer factors of 2638 that divides 2638 without a remainder.
1,2,1319,2638
Greatest Common Factor
We found the factors and prime factorization of 2636 and 2638. The biggest common factor number is the GCF number.
So the greatest common factor 2636 and 2638 is 2.
Also check out the Least Common Multiple of 2636 and 2638
(i) The GCF of 2636 and 2638 is associative
GCF of 2636 and 2638 = GCF of 2638 and 2636
1. What is the GCF of 2636 and 2638?
Answer: GCF of 2636 and 2638 is 2.
2. What are the Factors of 2636?
Answer: Factors of 2636 are 1, 2, 4, 659, 1318, 2636. There are 6 integers that are factors of 2636. The greatest factor of 2636 is 2636.
3. What are the Factors of 2638?
Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.
4. How to Find the GCF of 2636 and 2638?
Answer:
Greatest Common Factor of 2636 and 2638 = 2
Step 1: Find the prime factorization of 2636
2636 = 2 x 2 x 659
Step 2: Find the prime factorization of 2638
2638 = 2 x 1319
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2636 and 2638 is 2