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 10137, 10144 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10137 and 10144 is 1.
GCF(10137,10144) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 10144
2 | 10144 |
2 | 5072 |
2 | 2536 |
2 | 1268 |
2 | 634 |
317 | 317 |
1 |
Prime factors of 10144 are 2,317. Prime factorization of 10144 in exponential form is:
10144 = 25×3171
∴ So by taking common prime factors GCF of 10137 and 10144 is 1
Factors of 10137
List of positive integer factors of 10137 that divides 10137 without a remainder.
1,3,31,93,109,327,3379,10137
Factors of 10144
List of positive integer factors of 10144 that divides 10144 without a remainder.
1,2,4,8,16,32,317,634,1268,2536,5072,10144
Greatest Common Factor
We found the factors and prime factorization of 10137 and 10144. The biggest common factor number is the GCF number.
So the greatest common factor 10137 and 10144 is 1.
Also check out the Least Common Multiple of 10137 and 10144
(i) The GCF of 10137 and 10144 is associative
GCF of 10137 and 10144 = GCF of 10144 and 10137
1. What is the GCF of 10137 and 10144?
Answer: GCF of 10137 and 10144 is 1.
2. 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.
3. What are the Factors of 10144?
Answer: Factors of 10144 are 1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144. There are 12 integers that are factors of 10144. The greatest factor of 10144 is 10144.
4. How to Find the GCF of 10137 and 10144?
Answer:
Greatest Common Factor of 10137 and 10144 = 1
Step 1: Find the prime factorization of 10137
10137 = 3 x 31 x 109
Step 2: Find the prime factorization of 10144
10144 = 2 x 2 x 2 x 2 x 2 x 317
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 10137 and 10144 is 1