What is the Greatest Common Factor of 86664 and 86672?
Greatest common factor (GCF) of 86664 and 86672 is 8.
GCF(86664,86672) = 8
We will now calculate the prime factors of 86664 and 86672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86664 and 86672.
How to find the GCF of 86664 and 86672?
We will first find the prime factorization of 86664 and 86672. After we will calculate the factors of 86664 and 86672 and find the biggest common factor number .
Step-1: Prime Factorization of 86664
Prime factors of 86664 are 2, 3, 23, 157. Prime factorization of 86664 in exponential form is:
86664 = 23 × 31 × 231 × 1571
Step-2: Prime Factorization of 86672
Prime factors of 86672 are 2, 5417. Prime factorization of 86672 in exponential form is:
86672 = 24 × 54171
Step-3: Factors of 86664
List of positive integer factors of 86664 that divides 86664 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 157, 184, 276, 314, 471, 552, 628, 942, 1256, 1884, 3611, 3768, 7222, 10833, 14444, 21666, 28888, 43332
Step-4: Factors of 86672
List of positive integer factors of 86672 that divides 86664 without a remainder.
1, 2, 4, 8, 16, 5417, 10834, 21668, 43336
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 86664 and 86672. The biggest common factor number is the GCF number.
So the greatest common factor 86664 and 86672 is 8.
Also check out the Least Common Multiple of 86664 and 86672
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