What is the Greatest Common Factor of 226 and 232?
Greatest common factor (GCF) of 226 and 232 is 2.
GCF(226,232) = 2
We will now calculate the prime factors of 226 and 232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 226 and 232.
How to find the GCF of 226 and 232?
We will first find the prime factorization of 226 and 232. After we will calculate the factors of 226 and 232 and find the biggest common factor number .
Step-1: Prime Factorization of 226
Prime factors of 226 are 2, 113. Prime factorization of 226 in exponential form is:
226 = 21 × 1131
Step-2: Prime Factorization of 232
Prime factors of 232 are 2, 29. Prime factorization of 232 in exponential form is:
232 = 23 × 291
Step-3: Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1, 2, 113
Step-4: Factors of 232
List of positive integer factors of 232 that divides 226 without a remainder.
1, 2, 4, 8, 29, 58, 116
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 226 and 232. The biggest common factor number is the GCF number.
So the greatest common factor 226 and 232 is 2.
Also check out the Least Common Multiple of 226 and 232
Related Greatest Common Factors of 226
- GCF of 226 and 230
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Related Greatest Common Factors of 232
- GCF of 232 and 236
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