What is the Greatest Common Factor of 16833 and 16848?
Greatest common factor (GCF) of 16833 and 16848 is 3.
GCF(16833,16848) = 3
We will now calculate the prime factors of 16833 and 16848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16833 and 16848.
How to find the GCF of 16833 and 16848?
We will first find the prime factorization of 16833 and 16848. After we will calculate the factors of 16833 and 16848 and find the biggest common factor number .
Step-1: Prime Factorization of 16833
Prime factors of 16833 are 3, 31, 181. Prime factorization of 16833 in exponential form is:
16833 = 31 × 311 × 1811
Step-2: Prime Factorization of 16848
Prime factors of 16848 are 2, 3, 13. Prime factorization of 16848 in exponential form is:
16848 = 24 × 34 × 131
Step-3: Factors of 16833
List of positive integer factors of 16833 that divides 16833 without a remainder.
1, 3, 31, 93, 181, 543, 5611
Step-4: Factors of 16848
List of positive integer factors of 16848 that divides 16833 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 81, 104, 108, 117, 144, 156, 162, 208, 216, 234, 312, 324, 351, 432, 468, 624, 648, 702, 936, 1053, 1296, 1404, 1872, 2106, 2808, 4212, 5616, 8424
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16833 and 16848. The biggest common factor number is the GCF number.
So the greatest common factor 16833 and 16848 is 3.
Also check out the Least Common Multiple of 16833 and 16848
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Related Greatest Common Factors of 16848
- GCF of 16848 and 16852
- GCF of 16848 and 16853
- GCF of 16848 and 16854
- GCF of 16848 and 16855
- GCF of 16848 and 16856
- GCF of 16848 and 16857
- GCF of 16848 and 16858
- GCF of 16848 and 16859
- GCF of 16848 and 16860
- GCF of 16848 and 16861
- GCF of 16848 and 16862
- GCF of 16848 and 16863
- GCF of 16848 and 16864
- GCF of 16848 and 16865
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