What is the Greatest Common Factor of 19344 and 19360?
Greatest common factor (GCF) of 19344 and 19360 is 16.
GCF(19344,19360) = 16
We will now calculate the prime factors of 19344 and 19360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19344 and 19360.
How to find the GCF of 19344 and 19360?
We will first find the prime factorization of 19344 and 19360. After we will calculate the factors of 19344 and 19360 and find the biggest common factor number .
Step-1: Prime Factorization of 19344
Prime factors of 19344 are 2, 3, 13, 31. Prime factorization of 19344 in exponential form is:
19344 = 24 × 31 × 131 × 311
Step-2: Prime Factorization of 19360
Prime factors of 19360 are 2, 5, 11. Prime factorization of 19360 in exponential form is:
19360 = 25 × 51 × 112
Step-3: Factors of 19344
List of positive integer factors of 19344 that divides 19344 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 31, 39, 48, 52, 62, 78, 93, 104, 124, 156, 186, 208, 248, 312, 372, 403, 496, 624, 744, 806, 1209, 1488, 1612, 2418, 3224, 4836, 6448, 9672
Step-4: Factors of 19360
List of positive integer factors of 19360 that divides 19344 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 121, 160, 176, 220, 242, 352, 440, 484, 605, 880, 968, 1210, 1760, 1936, 2420, 3872, 4840, 9680
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 19344 and 19360. The biggest common factor number is the GCF number.
So the greatest common factor 19344 and 19360 is 16.
Also check out the Least Common Multiple of 19344 and 19360
Related Greatest Common Factors of 19344
- GCF of 19344 and 19348
- GCF of 19344 and 19349
- GCF of 19344 and 19350
- GCF of 19344 and 19351
- GCF of 19344 and 19352
- GCF of 19344 and 19353
- GCF of 19344 and 19354
- GCF of 19344 and 19355
- GCF of 19344 and 19356
- GCF of 19344 and 19357
- GCF of 19344 and 19358
- GCF of 19344 and 19359
- GCF of 19344 and 19360
- GCF of 19344 and 19361
- GCF of 19344 and 19362
- GCF of 19344 and 19363
- GCF of 19344 and 19364
Related Greatest Common Factors of 19360
- GCF of 19360 and 19364
- GCF of 19360 and 19365
- GCF of 19360 and 19366
- GCF of 19360 and 19367
- GCF of 19360 and 19368
- GCF of 19360 and 19369
- GCF of 19360 and 19370
- GCF of 19360 and 19371
- GCF of 19360 and 19372
- GCF of 19360 and 19373
- GCF of 19360 and 19374
- GCF of 19360 and 19375
- GCF of 19360 and 19376
- GCF of 19360 and 19377
- GCF of 19360 and 19378
- GCF of 19360 and 19379
- GCF of 19360 and 19380