What is the Greatest Common Factor of 16440 and 16446?
Greatest common factor (GCF) of 16440 and 16446 is 6.
GCF(16440,16446) = 6
We will now calculate the prime factors of 16440 and 16446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16440 and 16446.
How to find the GCF of 16440 and 16446?
We will first find the prime factorization of 16440 and 16446. After we will calculate the factors of 16440 and 16446 and find the biggest common factor number .
Step-1: Prime Factorization of 16440
Prime factors of 16440 are 2, 3, 5, 137. Prime factorization of 16440 in exponential form is:
16440 = 23 × 31 × 51 × 1371
Step-2: Prime Factorization of 16446
Prime factors of 16446 are 2, 3, 2741. Prime factorization of 16446 in exponential form is:
16446 = 21 × 31 × 27411
Step-3: Factors of 16440
List of positive integer factors of 16440 that divides 16440 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 137, 274, 411, 548, 685, 822, 1096, 1370, 1644, 2055, 2740, 3288, 4110, 5480, 8220
Step-4: Factors of 16446
List of positive integer factors of 16446 that divides 16440 without a remainder.
1, 2, 3, 6, 2741, 5482, 8223
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16440 and 16446. The biggest common factor number is the GCF number.
So the greatest common factor 16440 and 16446 is 6.
Also check out the Least Common Multiple of 16440 and 16446
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Related Greatest Common Factors of 16446
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