What is the Greatest Common Factor of 16728 and 16740?
Greatest common factor (GCF) of 16728 and 16740 is 12.
GCF(16728,16740) = 12
We will now calculate the prime factors of 16728 and 16740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16728 and 16740.
How to find the GCF of 16728 and 16740?
We will first find the prime factorization of 16728 and 16740. After we will calculate the factors of 16728 and 16740 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 16740
Prime factors of 16740 are 2, 3, 5, 31. Prime factorization of 16740 in exponential form is:
16740 = 22 × 33 × 51 × 311
Step-3: Factors of 16728
List of positive integer factors of 16728 that divides 16728 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
Step-4: Factors of 16740
List of positive integer factors of 16740 that divides 16728 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 90, 93, 108, 124, 135, 155, 180, 186, 270, 279, 310, 372, 465, 540, 558, 620, 837, 930, 1116, 1395, 1674, 1860, 2790, 3348, 4185, 5580, 8370
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16728 and 16740. The biggest common factor number is the GCF number.
So the greatest common factor 16728 and 16740 is 12.
Also check out the Least Common Multiple of 16728 and 16740
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Related Greatest Common Factors of 16740
- GCF of 16740 and 16744
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