What is the Greatest Common Factor of 16256 and 16268?
Greatest common factor (GCF) of 16256 and 16268 is 4.
GCF(16256,16268) = 4
We will now calculate the prime factors of 16256 and 16268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16256 and 16268.
How to find the GCF of 16256 and 16268?
We will first find the prime factorization of 16256 and 16268. After we will calculate the factors of 16256 and 16268 and find the biggest common factor number .
Step-1: Prime Factorization of 16256
Prime factors of 16256 are 2, 127. Prime factorization of 16256 in exponential form is:
16256 = 27 × 1271
Step-2: Prime Factorization of 16268
Prime factors of 16268 are 2, 7, 83. Prime factorization of 16268 in exponential form is:
16268 = 22 × 72 × 831
Step-3: Factors of 16256
List of positive integer factors of 16256 that divides 16256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 127, 128, 254, 508, 1016, 2032, 4064, 8128
Step-4: Factors of 16268
List of positive integer factors of 16268 that divides 16256 without a remainder.
1, 2, 4, 7, 14, 28, 49, 83, 98, 166, 196, 332, 581, 1162, 2324, 4067, 8134
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16256 and 16268. The biggest common factor number is the GCF number.
So the greatest common factor 16256 and 16268 is 4.
Also check out the Least Common Multiple of 16256 and 16268
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