What is the Greatest Common Factor of 16718 and 16728?
Greatest common factor (GCF) of 16718 and 16728 is 2.
GCF(16718,16728) = 2
We will now calculate the prime factors of 16718 and 16728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16718 and 16728.
How to find the GCF of 16718 and 16728?
We will first find the prime factorization of 16718 and 16728. After we will calculate the factors of 16718 and 16728 and find the biggest common factor number .
Step-1: Prime Factorization of 16718
Prime factors of 16718 are 2, 13, 643. Prime factorization of 16718 in exponential form is:
16718 = 21 × 131 × 6431
Step-2: Prime Factorization of 16728
Prime factors of 16728 are 2, 3, 17, 41. Prime factorization of 16728 in exponential form is:
16728 = 23 × 31 × 171 × 411
Step-3: Factors of 16718
List of positive integer factors of 16718 that divides 16718 without a remainder.
1, 2, 13, 26, 643, 1286, 8359
Step-4: Factors of 16728
List of positive integer factors of 16728 that divides 16718 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 41, 51, 68, 82, 102, 123, 136, 164, 204, 246, 328, 408, 492, 697, 984, 1394, 2091, 2788, 4182, 5576, 8364
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16718 and 16728. The biggest common factor number is the GCF number.
So the greatest common factor 16718 and 16728 is 2.
Also check out the Least Common Multiple of 16718 and 16728
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Related Greatest Common Factors of 16728
- GCF of 16728 and 16732
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- GCF of 16728 and 16734
- GCF of 16728 and 16735
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- GCF of 16728 and 16738
- GCF of 16728 and 16739
- GCF of 16728 and 16740
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- GCF of 16728 and 16742
- GCF of 16728 and 16743
- GCF of 16728 and 16744
- GCF of 16728 and 16745
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