What is the Greatest Common Factor of 23164 and 23168?
Greatest common factor (GCF) of 23164 and 23168 is 4.
GCF(23164,23168) = 4
We will now calculate the prime factors of 23164 and 23168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23164 and 23168.
How to find the GCF of 23164 and 23168?
We will first find the prime factorization of 23164 and 23168. After we will calculate the factors of 23164 and 23168 and find the biggest common factor number .
Step-1: Prime Factorization of 23164
Prime factors of 23164 are 2, 5791. Prime factorization of 23164 in exponential form is:
23164 = 22 × 57911
Step-2: Prime Factorization of 23168
Prime factors of 23168 are 2, 181. Prime factorization of 23168 in exponential form is:
23168 = 27 × 1811
Step-3: Factors of 23164
List of positive integer factors of 23164 that divides 23164 without a remainder.
1, 2, 4, 5791, 11582
Step-4: Factors of 23168
List of positive integer factors of 23168 that divides 23164 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 181, 362, 724, 1448, 2896, 5792, 11584
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23164 and 23168. The biggest common factor number is the GCF number.
So the greatest common factor 23164 and 23168 is 4.
Also check out the Least Common Multiple of 23164 and 23168
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Related Greatest Common Factors of 23168
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