What is the Greatest Common Factor of 68655 and 68664?
Greatest common factor (GCF) of 68655 and 68664 is 3.
GCF(68655,68664) = 3
We will now calculate the prime factors of 68655 and 68664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68655 and 68664.
How to find the GCF of 68655 and 68664?
We will first find the prime factorization of 68655 and 68664. After we will calculate the factors of 68655 and 68664 and find the biggest common factor number .
Step-1: Prime Factorization of 68655
Prime factors of 68655 are 3, 5, 23, 199. Prime factorization of 68655 in exponential form is:
68655 = 31 × 51 × 231 × 1991
Step-2: Prime Factorization of 68664
Prime factors of 68664 are 2, 3, 2861. Prime factorization of 68664 in exponential form is:
68664 = 23 × 31 × 28611
Step-3: Factors of 68655
List of positive integer factors of 68655 that divides 68655 without a remainder.
1, 3, 5, 15, 23, 69, 115, 199, 345, 597, 995, 2985, 4577, 13731, 22885
Step-4: Factors of 68664
List of positive integer factors of 68664 that divides 68655 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 2861, 5722, 8583, 11444, 17166, 22888, 34332
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68655 and 68664. The biggest common factor number is the GCF number.
So the greatest common factor 68655 and 68664 is 3.
Also check out the Least Common Multiple of 68655 and 68664
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