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 8136, 8138 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8136 and 8138 is 2.
GCF(8136,8138) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8136
2 | 8136 |
2 | 4068 |
2 | 2034 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 8136 are 2,3,113. Prime factorization of 8136 in exponential form is:
8136 = 23×32×1131
Prime Factorization of 8138
2 | 8138 |
13 | 4069 |
313 | 313 |
1 |
Prime factors of 8138 are 2,13,313. Prime factorization of 8138 in exponential form is:
8138 = 21×131×3131
∴ So by taking common prime factors GCF of 8136 and 8138 is 2
Factors of 8136
List of positive integer factors of 8136 that divides 8136 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Factors of 8138
List of positive integer factors of 8138 that divides 8138 without a remainder.
1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors and prime factorization of 8136 and 8138. The biggest common factor number is the GCF number.
So the greatest common factor 8136 and 8138 is 2.
Also check out the Least Common Multiple of 8136 and 8138
(i) The GCF of 8136 and 8138 is associative
GCF of 8136 and 8138 = GCF of 8138 and 8136
1. What is the GCF of 8136 and 8138?
Answer: GCF of 8136 and 8138 is 2.
2. What are the Factors of 8136?
Answer: Factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136. There are 24 integers that are factors of 8136. The greatest factor of 8136 is 8136.
3. What are the Factors of 8138?
Answer: Factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138. There are 8 integers that are factors of 8138. The greatest factor of 8138 is 8138.
4. How to Find the GCF of 8136 and 8138?
Answer:
Greatest Common Factor of 8136 and 8138 = 2
Step 1: Find the prime factorization of 8136
8136 = 2 x 2 x 2 x 3 x 3 x 113
Step 2: Find the prime factorization of 8138
8138 = 2 x 13 x 313
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 8136 and 8138 is 2