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 8146, 8151 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8146 and 8151 is 1.
GCF(8146,8151) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8146
2 | 8146 |
4073 | 4073 |
1 |
Prime factors of 8146 are 2,4073. Prime factorization of 8146 in exponential form is:
8146 = 21×40731
Prime Factorization of 8151
3 | 8151 |
11 | 2717 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 8151 are 3,11,13,19. Prime factorization of 8151 in exponential form is:
8151 = 31×111×131×191
∴ So by taking common prime factors GCF of 8146 and 8151 is 1
Factors of 8146
List of positive integer factors of 8146 that divides 8146 without a remainder.
1,2,4073,8146
Factors of 8151
List of positive integer factors of 8151 that divides 8151 without a remainder.
1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Greatest Common Factor
We found the factors and prime factorization of 8146 and 8151. The biggest common factor number is the GCF number.
So the greatest common factor 8146 and 8151 is 1.
Also check out the Least Common Multiple of 8146 and 8151
(i) The GCF of 8146 and 8151 is associative
GCF of 8146 and 8151 = GCF of 8151 and 8146
1. What is the GCF of 8146 and 8151?
Answer: GCF of 8146 and 8151 is 1.
2. What are the Factors of 8146?
Answer: Factors of 8146 are 1, 2, 4073, 8146. There are 4 integers that are factors of 8146. The greatest factor of 8146 is 8146.
3. What are the Factors of 8151?
Answer: Factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151. There are 16 integers that are factors of 8151. The greatest factor of 8151 is 8151.
4. How to Find the GCF of 8146 and 8151?
Answer:
Greatest Common Factor of 8146 and 8151 = 1
Step 1: Find the prime factorization of 8146
8146 = 2 x 4073
Step 2: Find the prime factorization of 8151
8151 = 3 x 11 x 13 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8146 and 8151 is 1