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 8139, 8142 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8139 and 8142 is 3.
GCF(8139,8142) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8139
3 | 8139 |
2713 | 2713 |
1 |
Prime factors of 8139 are 3,2713. Prime factorization of 8139 in exponential form is:
8139 = 31×27131
Prime Factorization of 8142
2 | 8142 |
3 | 4071 |
23 | 1357 |
59 | 59 |
1 |
Prime factors of 8142 are 2,3,23,59. Prime factorization of 8142 in exponential form is:
8142 = 21×31×231×591
∴ So by taking common prime factors GCF of 8139 and 8142 is 3
Factors of 8139
List of positive integer factors of 8139 that divides 8139 without a remainder.
1,3,2713,8139
Factors of 8142
List of positive integer factors of 8142 that divides 8142 without a remainder.
1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors and prime factorization of 8139 and 8142. The biggest common factor number is the GCF number.
So the greatest common factor 8139 and 8142 is 3.
Also check out the Least Common Multiple of 8139 and 8142
(i) The GCF of 8139 and 8142 is associative
GCF of 8139 and 8142 = GCF of 8142 and 8139
1. What is the GCF of 8139 and 8142?
Answer: GCF of 8139 and 8142 is 3.
2. What are the Factors of 8139?
Answer: Factors of 8139 are 1, 3, 2713, 8139. There are 4 integers that are factors of 8139. The greatest factor of 8139 is 8139.
3. What are the Factors of 8142?
Answer: Factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142. There are 16 integers that are factors of 8142. The greatest factor of 8142 is 8142.
4. How to Find the GCF of 8139 and 8142?
Answer:
Greatest Common Factor of 8139 and 8142 = 3
Step 1: Find the prime factorization of 8139
8139 = 3 x 2713
Step 2: Find the prime factorization of 8142
8142 = 2 x 3 x 23 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8139 and 8142 is 3