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 8122, 8126 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8122 and 8126 is 2.
GCF(8122,8126) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8122
2 | 8122 |
31 | 4061 |
131 | 131 |
1 |
Prime factors of 8122 are 2,31,131. Prime factorization of 8122 in exponential form is:
8122 = 21×311×1311
Prime Factorization of 8126
2 | 8126 |
17 | 4063 |
239 | 239 |
1 |
Prime factors of 8126 are 2,17,239. Prime factorization of 8126 in exponential form is:
8126 = 21×171×2391
∴ So by taking common prime factors GCF of 8122 and 8126 is 2
Factors of 8122
List of positive integer factors of 8122 that divides 8122 without a remainder.
1,2,31,62,131,262,4061,8122
Factors of 8126
List of positive integer factors of 8126 that divides 8126 without a remainder.
1,2,17,34,239,478,4063,8126
Greatest Common Factor
We found the factors and prime factorization of 8122 and 8126. The biggest common factor number is the GCF number.
So the greatest common factor 8122 and 8126 is 2.
Also check out the Least Common Multiple of 8122 and 8126
(i) The GCF of 8122 and 8126 is associative
GCF of 8122 and 8126 = GCF of 8126 and 8122
1. What is the GCF of 8122 and 8126?
Answer: GCF of 8122 and 8126 is 2.
2. What are the Factors of 8122?
Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.
3. What are the Factors of 8126?
Answer: Factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126. There are 8 integers that are factors of 8126. The greatest factor of 8126 is 8126.
4. How to Find the GCF of 8122 and 8126?
Answer:
Greatest Common Factor of 8122 and 8126 = 2
Step 1: Find the prime factorization of 8122
8122 = 2 x 31 x 131
Step 2: Find the prime factorization of 8126
8126 = 2 x 17 x 239
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 8122 and 8126 is 2