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 8129, 8134 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8129 and 8134 is 1.
GCF(8129,8134) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8129
11 | 8129 |
739 | 739 |
1 |
Prime factors of 8129 are 11,739. Prime factorization of 8129 in exponential form is:
8129 = 111×7391
Prime Factorization of 8134
2 | 8134 |
7 | 4067 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 8134 are 2,7,83. Prime factorization of 8134 in exponential form is:
8134 = 21×72×831
∴ So by taking common prime factors GCF of 8129 and 8134 is 1
Factors of 8129
List of positive integer factors of 8129 that divides 8129 without a remainder.
1,11,739,8129
Factors of 8134
List of positive integer factors of 8134 that divides 8134 without a remainder.
1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors and prime factorization of 8129 and 8134. The biggest common factor number is the GCF number.
So the greatest common factor 8129 and 8134 is 1.
Also check out the Least Common Multiple of 8129 and 8134
(i) The GCF of 8129 and 8134 is associative
GCF of 8129 and 8134 = GCF of 8134 and 8129
1. What is the GCF of 8129 and 8134?
Answer: GCF of 8129 and 8134 is 1.
2. What are the Factors of 8129?
Answer: Factors of 8129 are 1, 11, 739, 8129. There are 4 integers that are factors of 8129. The greatest factor of 8129 is 8129.
3. What are the Factors of 8134?
Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.
4. How to Find the GCF of 8129 and 8134?
Answer:
Greatest Common Factor of 8129 and 8134 = 1
Step 1: Find the prime factorization of 8129
8129 = 11 x 739
Step 2: Find the prime factorization of 8134
8134 = 2 x 7 x 7 x 83
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 8129 and 8134 is 1