What is the Greatest Common Factor of 228 and 243?
Greatest common factor (GCF) of 228 and 243 is 3.
GCF(228,243) = 3
We will now calculate the prime factors of 228 and 243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 228 and 243.
How to find the GCF of 228 and 243?
We will first find the prime factorization of 228 and 243. After we will calculate the factors of 228 and 243 and find the biggest common factor number .
Step-1: Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Step-2: Prime Factorization of 243
Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:
243 = 35
Step-3: Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114
Step-4: Factors of 243
List of positive integer factors of 243 that divides 228 without a remainder.
1, 3, 9, 27, 81
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 228 and 243. The biggest common factor number is the GCF number.
So the greatest common factor 228 and 243 is 3.
Also check out the Least Common Multiple of 228 and 243
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