What is the Greatest Common Factor of 225 and 229?
Greatest common factor (GCF) of 225 and 229 is 1.
GCF(225,229) = 1
We will now calculate the prime factors of 225 and 229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 225 and 229.
How to find the GCF of 225 and 229?
We will first find the prime factorization of 225 and 229. After we will calculate the factors of 225 and 229 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 229
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
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 229
List of positive integer factors of 229 that divides 225 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 225 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 229 is 1.
Also check out the Least Common Multiple of 225 and 229
Related Greatest Common Factors of 225
- GCF of 225 and 229
- GCF of 225 and 230
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Related Greatest Common Factors of 229
- GCF of 229 and 233
- GCF of 229 and 234
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- GCF of 229 and 243
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