What is the Greatest Common Factor of 16446 and 16464?
Greatest common factor (GCF) of 16446 and 16464 is 6.
GCF(16446,16464) = 6
We will now calculate the prime factors of 16446 and 16464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16446 and 16464.
How to find the GCF of 16446 and 16464?
We will first find the prime factorization of 16446 and 16464. After we will calculate the factors of 16446 and 16464 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 16464
Prime factors of 16464 are 2, 3, 7. Prime factorization of 16464 in exponential form is:
16464 = 24 × 31 × 73
Step-3: Factors of 16446
List of positive integer factors of 16446 that divides 16446 without a remainder.
1, 2, 3, 6, 2741, 5482, 8223
Step-4: Factors of 16464
List of positive integer factors of 16464 that divides 16446 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 343, 392, 588, 686, 784, 1029, 1176, 1372, 2058, 2352, 2744, 4116, 5488, 8232
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16446 and 16464. The biggest common factor number is the GCF number.
So the greatest common factor 16446 and 16464 is 6.
Also check out the Least Common Multiple of 16446 and 16464
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Related Greatest Common Factors of 16464
- GCF of 16464 and 16468
- GCF of 16464 and 16469
- GCF of 16464 and 16470
- GCF of 16464 and 16471
- GCF of 16464 and 16472
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- GCF of 16464 and 16474
- GCF of 16464 and 16475
- GCF of 16464 and 16476
- GCF of 16464 and 16477
- GCF of 16464 and 16478
- GCF of 16464 and 16479
- GCF of 16464 and 16480
- GCF of 16464 and 16481
- GCF of 16464 and 16482
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