What is the Greatest Common Factor of 66894 and 66912?
Greatest common factor (GCF) of 66894 and 66912 is 6.
GCF(66894,66912) = 6
We will now calculate the prime factors of 66894 and 66912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66894 and 66912.
How to find the GCF of 66894 and 66912?
We will first find the prime factorization of 66894 and 66912. After we will calculate the factors of 66894 and 66912 and find the biggest common factor number .
Step-1: Prime Factorization of 66894
Prime factors of 66894 are 2, 3, 11149. Prime factorization of 66894 in exponential form is:
66894 = 21 × 31 × 111491
Step-2: Prime Factorization of 66912
Prime factors of 66912 are 2, 3, 17, 41. Prime factorization of 66912 in exponential form is:
66912 = 25 × 31 × 171 × 411
Step-3: Factors of 66894
List of positive integer factors of 66894 that divides 66894 without a remainder.
1, 2, 3, 6, 11149, 22298, 33447
Step-4: Factors of 66912
List of positive integer factors of 66912 that divides 66894 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 41, 48, 51, 68, 82, 96, 102, 123, 136, 164, 204, 246, 272, 328, 408, 492, 544, 656, 697, 816, 984, 1312, 1394, 1632, 1968, 2091, 2788, 3936, 4182, 5576, 8364, 11152, 16728, 22304, 33456
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66894 and 66912. The biggest common factor number is the GCF number.
So the greatest common factor 66894 and 66912 is 6.
Also check out the Least Common Multiple of 66894 and 66912
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