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 144362, 144368 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144362 and 144368 is 2.
GCF(144362,144368) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144362
2 | 144362 |
19 | 72181 |
29 | 3799 |
131 | 131 |
1 |
Prime factors of 144362 are 2,19,29,131. Prime factorization of 144362 in exponential form is:
144362 = 21×191×291×1311
Prime Factorization of 144368
2 | 144368 |
2 | 72184 |
2 | 36092 |
2 | 18046 |
7 | 9023 |
1289 | 1289 |
1 |
Prime factors of 144368 are 2,7,1289. Prime factorization of 144368 in exponential form is:
144368 = 24×71×12891
∴ So by taking common prime factors GCF of 144362 and 144368 is 2
Factors of 144362
List of positive integer factors of 144362 that divides 144362 without a remainder.
1,2,19,29,38,58,131,262,551,1102,2489,3799,4978,7598,72181,144362
Factors of 144368
List of positive integer factors of 144368 that divides 144368 without a remainder.
1,2,4,7,8,14,16,28,56,112,1289,2578,5156,9023,10312,18046,20624,36092,72184,144368
Greatest Common Factor
We found the factors and prime factorization of 144362 and 144368. The biggest common factor number is the GCF number.
So the greatest common factor 144362 and 144368 is 2.
Also check out the Least Common Multiple of 144362 and 144368
(i) The GCF of 144362 and 144368 is associative
GCF of 144362 and 144368 = GCF of 144368 and 144362
1. What is the GCF of 144362 and 144368?
Answer: GCF of 144362 and 144368 is 2.
2. What are the Factors of 144362?
Answer: Factors of 144362 are 1, 2, 19, 29, 38, 58, 131, 262, 551, 1102, 2489, 3799, 4978, 7598, 72181, 144362. There are 16 integers that are factors of 144362. The greatest factor of 144362 is 144362.
3. What are the Factors of 144368?
Answer: Factors of 144368 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 1289, 2578, 5156, 9023, 10312, 18046, 20624, 36092, 72184, 144368. There are 20 integers that are factors of 144368. The greatest factor of 144368 is 144368.
4. How to Find the GCF of 144362 and 144368?
Answer:
Greatest Common Factor of 144362 and 144368 = 2
Step 1: Find the prime factorization of 144362
144362 = 2 x 19 x 29 x 131
Step 2: Find the prime factorization of 144368
144368 = 2 x 2 x 2 x 2 x 7 x 1289
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 144362 and 144368 is 2