What is the Greatest Common Factor of 67599 and 67614?
Greatest common factor (GCF) of 67599 and 67614 is 3.
GCF(67599,67614) = 3
We will now calculate the prime factors of 67599 and 67614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67599 and 67614.
How to find the GCF of 67599 and 67614?
We will first find the prime factorization of 67599 and 67614. After we will calculate the factors of 67599 and 67614 and find the biggest common factor number .
Step-1: Prime Factorization of 67599
Prime factors of 67599 are 3, 7, 29, 37. Prime factorization of 67599 in exponential form is:
67599 = 32 × 71 × 291 × 371
Step-2: Prime Factorization of 67614
Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:
67614 = 21 × 31 × 591 × 1911
Step-3: Factors of 67599
List of positive integer factors of 67599 that divides 67599 without a remainder.
1, 3, 7, 9, 21, 29, 37, 63, 87, 111, 203, 259, 261, 333, 609, 777, 1073, 1827, 2331, 3219, 7511, 9657, 22533
Step-4: Factors of 67614
List of positive integer factors of 67614 that divides 67599 without a remainder.
1, 2, 3, 6, 59, 118, 177, 191, 354, 382, 573, 1146, 11269, 22538, 33807
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67599 and 67614. The biggest common factor number is the GCF number.
So the greatest common factor 67599 and 67614 is 3.
Also check out the Least Common Multiple of 67599 and 67614
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