What is the Greatest Common Factor of 16317 and 16324?
Greatest common factor (GCF) of 16317 and 16324 is 7.
GCF(16317,16324) = 7
We will now calculate the prime factors of 16317 and 16324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16317 and 16324.
How to find the GCF of 16317 and 16324?
We will first find the prime factorization of 16317 and 16324. After we will calculate the factors of 16317 and 16324 and find the biggest common factor number .
Step-1: Prime Factorization of 16317
Prime factors of 16317 are 3, 7, 37. Prime factorization of 16317 in exponential form is:
16317 = 32 × 72 × 371
Step-2: Prime Factorization of 16324
Prime factors of 16324 are 2, 7, 11, 53. Prime factorization of 16324 in exponential form is:
16324 = 22 × 71 × 111 × 531
Step-3: Factors of 16317
List of positive integer factors of 16317 that divides 16317 without a remainder.
1, 3, 7, 9, 21, 37, 49, 63, 111, 147, 259, 333, 441, 777, 1813, 2331, 5439
Step-4: Factors of 16324
List of positive integer factors of 16324 that divides 16317 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 53, 77, 106, 154, 212, 308, 371, 583, 742, 1166, 1484, 2332, 4081, 8162
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16317 and 16324. The biggest common factor number is the GCF number.
So the greatest common factor 16317 and 16324 is 7.
Also check out the Least Common Multiple of 16317 and 16324
Related Greatest Common Factors of 16317
- GCF of 16317 and 16321
- GCF of 16317 and 16322
- GCF of 16317 and 16323
- GCF of 16317 and 16324
- GCF of 16317 and 16325
- GCF of 16317 and 16326
- GCF of 16317 and 16327
- GCF of 16317 and 16328
- GCF of 16317 and 16329
- GCF of 16317 and 16330
- GCF of 16317 and 16331
- GCF of 16317 and 16332
- GCF of 16317 and 16333
- GCF of 16317 and 16334
- GCF of 16317 and 16335
- GCF of 16317 and 16336
- GCF of 16317 and 16337
Related Greatest Common Factors of 16324
- GCF of 16324 and 16328
- GCF of 16324 and 16329
- GCF of 16324 and 16330
- GCF of 16324 and 16331
- GCF of 16324 and 16332
- GCF of 16324 and 16333
- GCF of 16324 and 16334
- GCF of 16324 and 16335
- GCF of 16324 and 16336
- GCF of 16324 and 16337
- GCF of 16324 and 16338
- GCF of 16324 and 16339
- GCF of 16324 and 16340
- GCF of 16324 and 16341
- GCF of 16324 and 16342
- GCF of 16324 and 16343
- GCF of 16324 and 16344