What is the Greatest Common Factor of 222 and 226?
Greatest common factor (GCF) of 222 and 226 is 2.
GCF(222,226) = 2
We will now calculate the prime factors of 222 and 226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 222 and 226.
How to find the GCF of 222 and 226?
We will first find the prime factorization of 222 and 226. After we will calculate the factors of 222 and 226 and find the biggest common factor number .
Step-1: Prime Factorization of 222
Prime factors of 222 are 2, 3, 37. Prime factorization of 222 in exponential form is:
222 = 21 × 31 × 371
Step-2: Prime Factorization of 226
Prime factors of 226 are 2, 113. Prime factorization of 226 in exponential form is:
226 = 21 × 1131
Step-3: Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111
Step-4: Factors of 226
List of positive integer factors of 226 that divides 222 without a remainder.
1, 2, 113
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 222 and 226. The biggest common factor number is the GCF number.
So the greatest common factor 222 and 226 is 2.
Also check out the Least Common Multiple of 222 and 226
Related Greatest Common Factors of 222
- GCF of 222 and 226
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Related Greatest Common Factors of 226
- GCF of 226 and 230
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