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 8036, 8038 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8036 and 8038 is 2.
GCF(8036,8038) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8036
2 | 8036 |
2 | 4018 |
7 | 2009 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 8036 are 2,7,41. Prime factorization of 8036 in exponential form is:
8036 = 22×72×411
Prime Factorization of 8038
2 | 8038 |
4019 | 4019 |
1 |
Prime factors of 8038 are 2,4019. Prime factorization of 8038 in exponential form is:
8038 = 21×40191
∴ So by taking common prime factors GCF of 8036 and 8038 is 2
Factors of 8036
List of positive integer factors of 8036 that divides 8036 without a remainder.
1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036
Factors of 8038
List of positive integer factors of 8038 that divides 8038 without a remainder.
1,2,4019,8038
Greatest Common Factor
We found the factors and prime factorization of 8036 and 8038. The biggest common factor number is the GCF number.
So the greatest common factor 8036 and 8038 is 2.
Also check out the Least Common Multiple of 8036 and 8038
(i) The GCF of 8036 and 8038 is associative
GCF of 8036 and 8038 = GCF of 8038 and 8036
1. What is the GCF of 8036 and 8038?
Answer: GCF of 8036 and 8038 is 2.
2. What are the Factors of 8036?
Answer: Factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036. There are 18 integers that are factors of 8036. The greatest factor of 8036 is 8036.
3. What are the Factors of 8038?
Answer: Factors of 8038 are 1, 2, 4019, 8038. There are 4 integers that are factors of 8038. The greatest factor of 8038 is 8038.
4. How to Find the GCF of 8036 and 8038?
Answer:
Greatest Common Factor of 8036 and 8038 = 2
Step 1: Find the prime factorization of 8036
8036 = 2 x 2 x 7 x 7 x 41
Step 2: Find the prime factorization of 8038
8038 = 2 x 4019
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 8036 and 8038 is 2