What is the Greatest Common Factor of 16263 and 16275?
Greatest common factor (GCF) of 16263 and 16275 is 3.
GCF(16263,16275) = 3
We will now calculate the prime factors of 16263 and 16275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16263 and 16275.
How to find the GCF of 16263 and 16275?
We will first find the prime factorization of 16263 and 16275. After we will calculate the factors of 16263 and 16275 and find the biggest common factor number .
Step-1: Prime Factorization of 16263
Prime factors of 16263 are 3, 13, 139. Prime factorization of 16263 in exponential form is:
16263 = 32 × 131 × 1391
Step-2: Prime Factorization of 16275
Prime factors of 16275 are 3, 5, 7, 31. Prime factorization of 16275 in exponential form is:
16275 = 31 × 52 × 71 × 311
Step-3: Factors of 16263
List of positive integer factors of 16263 that divides 16263 without a remainder.
1, 3, 9, 13, 39, 117, 139, 417, 1251, 1807, 5421
Step-4: Factors of 16275
List of positive integer factors of 16275 that divides 16263 without a remainder.
1, 3, 5, 7, 15, 21, 25, 31, 35, 75, 93, 105, 155, 175, 217, 465, 525, 651, 775, 1085, 2325, 3255, 5425
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16263 and 16275. The biggest common factor number is the GCF number.
So the greatest common factor 16263 and 16275 is 3.
Also check out the Least Common Multiple of 16263 and 16275
Related Greatest Common Factors of 16263
- GCF of 16263 and 16267
- GCF of 16263 and 16268
- GCF of 16263 and 16269
- GCF of 16263 and 16270
- GCF of 16263 and 16271
- GCF of 16263 and 16272
- GCF of 16263 and 16273
- GCF of 16263 and 16274
- GCF of 16263 and 16275
- GCF of 16263 and 16276
- GCF of 16263 and 16277
- GCF of 16263 and 16278
- GCF of 16263 and 16279
- GCF of 16263 and 16280
- GCF of 16263 and 16281
- GCF of 16263 and 16282
- GCF of 16263 and 16283
Related Greatest Common Factors of 16275
- GCF of 16275 and 16279
- GCF of 16275 and 16280
- GCF of 16275 and 16281
- GCF of 16275 and 16282
- GCF of 16275 and 16283
- GCF of 16275 and 16284
- GCF of 16275 and 16285
- GCF of 16275 and 16286
- GCF of 16275 and 16287
- GCF of 16275 and 16288
- GCF of 16275 and 16289
- GCF of 16275 and 16290
- GCF of 16275 and 16291
- GCF of 16275 and 16292
- GCF of 16275 and 16293
- GCF of 16275 and 16294
- GCF of 16275 and 16295