What is the Greatest Common Factor of 276 and 288?
Greatest common factor (GCF) of 276 and 288 is 12.
GCF(276,288) = 12
We will now calculate the prime factors of 276 and 288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 276 and 288.
How to find the GCF of 276 and 288?
We will first find the prime factorization of 276 and 288. After we will calculate the factors of 276 and 288 and find the biggest common factor number .
Step-1: Prime Factorization of 276
Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:
276 = 22 × 31 × 231
Step-2: Prime Factorization of 288
Prime factors of 288 are 2, 3. Prime factorization of 288 in exponential form is:
288 = 25 × 32
Step-3: Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138
Step-4: Factors of 288
List of positive integer factors of 288 that divides 276 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 276 and 288. The biggest common factor number is the GCF number.
So the greatest common factor 276 and 288 is 12.
Also check out the Least Common Multiple of 276 and 288
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