What is the Greatest Common Factor of 32496 and 32512?
Greatest common factor (GCF) of 32496 and 32512 is 16.
GCF(32496,32512) = 16
We will now calculate the prime factors of 32496 and 32512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32496 and 32512.
How to find the GCF of 32496 and 32512?
We will first find the prime factorization of 32496 and 32512. After we will calculate the factors of 32496 and 32512 and find the biggest common factor number .
Step-1: Prime Factorization of 32496
Prime factors of 32496 are 2, 3, 677. Prime factorization of 32496 in exponential form is:
32496 = 24 × 31 × 6771
Step-2: Prime Factorization of 32512
Prime factors of 32512 are 2, 127. Prime factorization of 32512 in exponential form is:
32512 = 28 × 1271
Step-3: Factors of 32496
List of positive integer factors of 32496 that divides 32496 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248
Step-4: Factors of 32512
List of positive integer factors of 32512 that divides 32496 without a remainder.
1, 2, 4, 8, 16, 32, 64, 127, 128, 254, 256, 508, 1016, 2032, 4064, 8128, 16256
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32496 and 32512. The biggest common factor number is the GCF number.
So the greatest common factor 32496 and 32512 is 16.
Also check out the Least Common Multiple of 32496 and 32512
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