What is the Greatest Common Factor of 225 and 230?
Greatest common factor (GCF) of 225 and 230 is 5.
GCF(225,230) = 5
We will now calculate the prime factors of 225 and 230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 225 and 230.
How to find the GCF of 225 and 230?
We will first find the prime factorization of 225 and 230. After we will calculate the factors of 225 and 230 and find the biggest common factor number .
Step-1: Prime Factorization of 225
Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:
225 = 32 × 52
Step-2: Prime Factorization of 230
Prime factors of 230 are 2, 5, 23. Prime factorization of 230 in exponential form is:
230 = 21 × 51 × 231
Step-3: Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75
Step-4: Factors of 230
List of positive integer factors of 230 that divides 225 without a remainder.
1, 2, 5, 10, 23, 46, 115
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 225 and 230. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 230 is 5.
Also check out the Least Common Multiple of 225 and 230
Related Greatest Common Factors of 225
- GCF of 225 and 229
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Related Greatest Common Factors of 230
- GCF of 230 and 234
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