What is the Greatest Common Factor of 6309 and 6318?
Greatest common factor (GCF) of 6309 and 6318 is 9.
GCF(6309,6318) = 9
We will now calculate the prime factors of 6309 and 6318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6309 and 6318.
How to find the GCF of 6309 and 6318?
We will first find the prime factorization of 6309 and 6318. After we will calculate the factors of 6309 and 6318 and find the biggest common factor number .
Step-1: Prime Factorization of 6309
Prime factors of 6309 are 3, 701. Prime factorization of 6309 in exponential form is:
6309 = 32 × 7011
Step-2: Prime Factorization of 6318
Prime factors of 6318 are 2, 3, 13. Prime factorization of 6318 in exponential form is:
6318 = 21 × 35 × 131
Step-3: Factors of 6309
List of positive integer factors of 6309 that divides 6309 without a remainder.
1, 3, 9, 701, 2103
Step-4: Factors of 6318
List of positive integer factors of 6318 that divides 6309 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6309 and 6318. The biggest common factor number is the GCF number.
So the greatest common factor 6309 and 6318 is 9.
Also check out the Least Common Multiple of 6309 and 6318
Related Greatest Common Factors of 6309
- GCF of 6309 and 6313
- GCF of 6309 and 6314
- GCF of 6309 and 6315
- GCF of 6309 and 6316
- GCF of 6309 and 6317
- GCF of 6309 and 6318
- GCF of 6309 and 6319
- GCF of 6309 and 6320
- GCF of 6309 and 6321
- GCF of 6309 and 6322
- GCF of 6309 and 6323
- GCF of 6309 and 6324
- GCF of 6309 and 6325
- GCF of 6309 and 6326
- GCF of 6309 and 6327
- GCF of 6309 and 6328
- GCF of 6309 and 6329
Related Greatest Common Factors of 6318
- GCF of 6318 and 6322
- GCF of 6318 and 6323
- GCF of 6318 and 6324
- GCF of 6318 and 6325
- GCF of 6318 and 6326
- GCF of 6318 and 6327
- GCF of 6318 and 6328
- GCF of 6318 and 6329
- GCF of 6318 and 6330
- GCF of 6318 and 6331
- GCF of 6318 and 6332
- GCF of 6318 and 6333
- GCF of 6318 and 6334
- GCF of 6318 and 6335
- GCF of 6318 and 6336
- GCF of 6318 and 6337
- GCF of 6318 and 6338