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 10134, 10137 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10134 and 10137 is 3.
GCF(10134,10137) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10134
2 | 10134 |
3 | 5067 |
3 | 1689 |
563 | 563 |
1 |
Prime factors of 10134 are 2,3,563. Prime factorization of 10134 in exponential form is:
10134 = 21×32×5631
Prime Factorization of 10137
3 | 10137 |
31 | 3379 |
109 | 109 |
1 |
Prime factors of 10137 are 3,31,109. Prime factorization of 10137 in exponential form is:
10137 = 31×311×1091
∴ So by taking common prime factors GCF of 10134 and 10137 is 3
Factors of 10134
List of positive integer factors of 10134 that divides 10134 without a remainder.
1,2,3,6,9,18,563,1126,1689,3378,5067,10134
Factors of 10137
List of positive integer factors of 10137 that divides 10137 without a remainder.
1,3,31,93,109,327,3379,10137
Greatest Common Factor
We found the factors and prime factorization of 10134 and 10137. The biggest common factor number is the GCF number.
So the greatest common factor 10134 and 10137 is 3.
Also check out the Least Common Multiple of 10134 and 10137
(i) The GCF of 10134 and 10137 is associative
GCF of 10134 and 10137 = GCF of 10137 and 10134
1. What is the GCF of 10134 and 10137?
Answer: GCF of 10134 and 10137 is 3.
2. What are the Factors of 10134?
Answer: Factors of 10134 are 1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134. There are 12 integers that are factors of 10134. The greatest factor of 10134 is 10134.
3. What are the Factors of 10137?
Answer: Factors of 10137 are 1, 3, 31, 93, 109, 327, 3379, 10137. There are 8 integers that are factors of 10137. The greatest factor of 10137 is 10137.
4. How to Find the GCF of 10134 and 10137?
Answer:
Greatest Common Factor of 10134 and 10137 = 3
Step 1: Find the prime factorization of 10134
10134 = 2 x 3 x 3 x 563
Step 2: Find the prime factorization of 10137
10137 = 3 x 31 x 109
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 10134 and 10137 is 3