What is the Greatest Common Factor of 224 and 230?
Greatest common factor (GCF) of 224 and 230 is 2.
GCF(224,230) = 2
We will now calculate the prime factors of 224 and 230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 224 and 230.
How to find the GCF of 224 and 230?
We will first find the prime factorization of 224 and 230. After we will calculate the factors of 224 and 230 and find the biggest common factor number .
Step-1: Prime Factorization of 224
Prime factors of 224 are 2, 7. Prime factorization of 224 in exponential form is:
224 = 25 × 71
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 224
List of positive integer factors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112
Step-4: Factors of 230
List of positive integer factors of 230 that divides 224 without a remainder.
1, 2, 5, 10, 23, 46, 115
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 224 and 230. The biggest common factor number is the GCF number.
So the greatest common factor 224 and 230 is 2.
Also check out the Least Common Multiple of 224 and 230
Related Greatest Common Factors of 224
- GCF of 224 and 228
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Related Greatest Common Factors of 230
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