What is the Greatest Common Factor of 231 and 245?
Greatest common factor (GCF) of 231 and 245 is 7.
GCF(231,245) = 7
We will now calculate the prime factors of 231 and 245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 231 and 245.
How to find the GCF of 231 and 245?
We will first find the prime factorization of 231 and 245. After we will calculate the factors of 231 and 245 and find the biggest common factor number .
Step-1: Prime Factorization of 231
Prime factors of 231 are 3, 7, 11. Prime factorization of 231 in exponential form is:
231 = 31 × 71 × 111
Step-2: Prime Factorization of 245
Prime factors of 245 are 5, 7. Prime factorization of 245 in exponential form is:
245 = 51 × 72
Step-3: Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77
Step-4: Factors of 245
List of positive integer factors of 245 that divides 231 without a remainder.
1, 5, 7, 35, 49
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 231 and 245. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 245 is 7.
Also check out the Least Common Multiple of 231 and 245
Related Greatest Common Factors of 231
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Related Greatest Common Factors of 245
- GCF of 245 and 249
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