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 9139, 9144 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9139 and 9144 is 1.
GCF(9139,9144) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9139
13 | 9139 |
19 | 703 |
37 | 37 |
1 |
Prime factors of 9139 are 13,19,37. Prime factorization of 9139 in exponential form is:
9139 = 131×191×371
Prime Factorization of 9144
2 | 9144 |
2 | 4572 |
2 | 2286 |
3 | 1143 |
3 | 381 |
127 | 127 |
1 |
Prime factors of 9144 are 2,3,127. Prime factorization of 9144 in exponential form is:
9144 = 23×32×1271
∴ So by taking common prime factors GCF of 9139 and 9144 is 1
Factors of 9139
List of positive integer factors of 9139 that divides 9139 without a remainder.
1,13,19,37,247,481,703,9139
Factors of 9144
List of positive integer factors of 9144 that divides 9144 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Greatest Common Factor
We found the factors and prime factorization of 9139 and 9144. The biggest common factor number is the GCF number.
So the greatest common factor 9139 and 9144 is 1.
Also check out the Least Common Multiple of 9139 and 9144
(i) The GCF of 9139 and 9144 is associative
GCF of 9139 and 9144 = GCF of 9144 and 9139
1. What is the GCF of 9139 and 9144?
Answer: GCF of 9139 and 9144 is 1.
2. What are the Factors of 9139?
Answer: Factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139. There are 8 integers that are factors of 9139. The greatest factor of 9139 is 9139.
3. What are the Factors of 9144?
Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.
4. How to Find the GCF of 9139 and 9144?
Answer:
Greatest Common Factor of 9139 and 9144 = 1
Step 1: Find the prime factorization of 9139
9139 = 13 x 19 x 37
Step 2: Find the prime factorization of 9144
9144 = 2 x 2 x 2 x 3 x 3 x 127
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 9139 and 9144 is 1