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 636, 638 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 636 and 638 is 2.
GCF(636,638) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 636
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 636 are 2,3,53. Prime factorization of 636 in exponential form is:
636 = 22×31×531
Prime Factorization of 638
2 | 638 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 638 are 2,11,29. Prime factorization of 638 in exponential form is:
638 = 21×111×291
∴ So by taking common prime factors GCF of 636 and 638 is 2
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors and prime factorization of 636 and 638. The biggest common factor number is the GCF number.
So the greatest common factor 636 and 638 is 2.
Also check out the Least Common Multiple of 636 and 638
(i) The GCF of 636 and 638 is associative
GCF of 636 and 638 = GCF of 638 and 636
1. What is the GCF of 636 and 638?
Answer: GCF of 636 and 638 is 2.
2. What are the Factors of 636?
Answer: Factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636. There are 12 integers that are factors of 636. The greatest factor of 636 is 636.
3. What are the Factors of 638?
Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.
4. How to Find the GCF of 636 and 638?
Answer:
Greatest Common Factor of 636 and 638 = 2
Step 1: Find the prime factorization of 636
636 = 2 x 2 x 3 x 53
Step 2: Find the prime factorization of 638
638 = 2 x 11 x 29
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 636 and 638 is 2