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 86, 104 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 86 and 104 is 2.
GCF(86,104) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 86
2 | 86 |
43 | 43 |
1 |
Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:
86 = 21×431
Prime Factorization of 104
2 | 104 |
2 | 52 |
2 | 26 |
13 | 13 |
1 |
Prime factors of 104 are 2,13. Prime factorization of 104 in exponential form is:
104 = 23×131
∴ So by taking common prime factors GCF of 86 and 104 is 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors and prime factorization of 86 and 104. The biggest common factor number is the GCF number.
So the greatest common factor 86 and 104 is 2.
Also check out the Least Common Multiple of 86 and 104
(i) The GCF of 86 and 104 is associative
GCF of 86 and 104 = GCF of 104 and 86
1. What is the GCF of 86 and 104?
Answer: GCF of 86 and 104 is 2.
2. What are the Factors of 86?
Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.
3. What are the Factors of 104?
Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.
4. How to Find the GCF of 86 and 104?
Answer:
Greatest Common Factor of 86 and 104 = 2
Step 1: Find the prime factorization of 86
86 = 2 x 43
Step 2: Find the prime factorization of 104
104 = 2 x 2 x 2 x 13
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 86 and 104 is 2