What is the Greatest Common Factor of 16830 and 16835?
Greatest common factor (GCF) of 16830 and 16835 is 5.
GCF(16830,16835) = 5
We will now calculate the prime factors of 16830 and 16835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16830 and 16835.
How to find the GCF of 16830 and 16835?
We will first find the prime factorization of 16830 and 16835. After we will calculate the factors of 16830 and 16835 and find the biggest common factor number .
Step-1: Prime Factorization of 16830
Prime factors of 16830 are 2, 3, 5, 11, 17. Prime factorization of 16830 in exponential form is:
16830 = 21 × 32 × 51 × 111 × 171
Step-2: Prime Factorization of 16835
Prime factors of 16835 are 5, 7, 13, 37. Prime factorization of 16835 in exponential form is:
16835 = 51 × 71 × 131 × 371
Step-3: Factors of 16830
List of positive integer factors of 16830 that divides 16830 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 17, 18, 22, 30, 33, 34, 45, 51, 55, 66, 85, 90, 99, 102, 110, 153, 165, 170, 187, 198, 255, 306, 330, 374, 495, 510, 561, 765, 935, 990, 1122, 1530, 1683, 1870, 2805, 3366, 5610, 8415
Step-4: Factors of 16835
List of positive integer factors of 16835 that divides 16830 without a remainder.
1, 5, 7, 13, 35, 37, 65, 91, 185, 259, 455, 481, 1295, 2405, 3367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16830 and 16835. The biggest common factor number is the GCF number.
So the greatest common factor 16830 and 16835 is 5.
Also check out the Least Common Multiple of 16830 and 16835
Related Greatest Common Factors of 16830
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Related Greatest Common Factors of 16835
- GCF of 16835 and 16839
- GCF of 16835 and 16840
- GCF of 16835 and 16841
- GCF of 16835 and 16842
- GCF of 16835 and 16843
- GCF of 16835 and 16844
- GCF of 16835 and 16845
- GCF of 16835 and 16846
- GCF of 16835 and 16847
- GCF of 16835 and 16848
- GCF of 16835 and 16849
- GCF of 16835 and 16850
- GCF of 16835 and 16851
- GCF of 16835 and 16852
- GCF of 16835 and 16853
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