What is the Greatest Common Factor of 16372 and 16384?
Greatest common factor (GCF) of 16372 and 16384 is 4.
GCF(16372,16384) = 4
We will now calculate the prime factors of 16372 and 16384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16372 and 16384.
How to find the GCF of 16372 and 16384?
We will first find the prime factorization of 16372 and 16384. After we will calculate the factors of 16372 and 16384 and find the biggest common factor number .
Step-1: Prime Factorization of 16372
Prime factors of 16372 are 2, 4093. Prime factorization of 16372 in exponential form is:
16372 = 22 × 40931
Step-2: Prime Factorization of 16384
Prime factors of 16384 are 2. Prime factorization of 16384 in exponential form is:
16384 = 214
Step-3: Factors of 16372
List of positive integer factors of 16372 that divides 16372 without a remainder.
1, 2, 4, 4093, 8186
Step-4: Factors of 16384
List of positive integer factors of 16384 that divides 16372 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16372 and 16384. The biggest common factor number is the GCF number.
So the greatest common factor 16372 and 16384 is 4.
Also check out the Least Common Multiple of 16372 and 16384
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