What is the Greatest Common Factor of 228 and 237?
Greatest common factor (GCF) of 228 and 237 is 3.
GCF(228,237) = 3
We will now calculate the prime factors of 228 and 237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 228 and 237.
How to find the GCF of 228 and 237?
We will first find the prime factorization of 228 and 237. After we will calculate the factors of 228 and 237 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 237
Prime factors of 237 are 3, 79. Prime factorization of 237 in exponential form is:
237 = 31 × 791
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 237
List of positive integer factors of 237 that divides 228 without a remainder.
1, 3, 79
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 228 and 237. The biggest common factor number is the GCF number.
So the greatest common factor 228 and 237 is 3.
Also check out the Least Common Multiple of 228 and 237
Related Greatest Common Factors of 228
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Related Greatest Common Factors of 237
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