What is the Greatest Common Factor of 231 and 240?
Greatest common factor (GCF) of 231 and 240 is 3.
GCF(231,240) = 3
We will now calculate the prime factors of 231 and 240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 231 and 240.
How to find the GCF of 231 and 240?
We will first find the prime factorization of 231 and 240. After we will calculate the factors of 231 and 240 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 240
Prime factors of 240 are 2, 3, 5. Prime factorization of 240 in exponential form is:
240 = 24 × 31 × 51
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 240
List of positive integer factors of 240 that divides 231 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 231 and 240. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 240 is 3.
Also check out the Least Common Multiple of 231 and 240
Related Greatest Common Factors of 231
- GCF of 231 and 235
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Related Greatest Common Factors of 240
- GCF of 240 and 244
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