What is the Greatest Common Factor of 123 and 141?
Greatest common factor (GCF) of 123 and 141 is 3.
GCF(123,141) = 3
We will now calculate the prime factors of 123 and 141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 123 and 141.
How to find the GCF of 123 and 141?
We will first find the prime factorization of 123 and 141. After we will calculate the factors of 123 and 141 and find the biggest common factor number .
Step-1: Prime Factorization of 123
Prime factors of 123 are 3, 41. Prime factorization of 123 in exponential form is:
123 = 31 × 411
Step-2: Prime Factorization of 141
Prime factors of 141 are 3, 47. Prime factorization of 141 in exponential form is:
141 = 31 × 471
Step-3: Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41
Step-4: Factors of 141
List of positive integer factors of 141 that divides 123 without a remainder.
1, 3, 47
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 123 and 141. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 141 is 3.
Also check out the Least Common Multiple of 123 and 141
Related Greatest Common Factors of 123
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Related Greatest Common Factors of 141
- GCF of 141 and 145
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