What is the Greatest Common Factor of 123 and 133?
Greatest common factor (GCF) of 123 and 133 is 1.
GCF(123,133) = 1
We will now calculate the prime factors of 123 and 133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 123 and 133.
How to find the GCF of 123 and 133?
We will first find the prime factorization of 123 and 133. After we will calculate the factors of 123 and 133 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 133
Prime factors of 133 are 7, 19. Prime factorization of 133 in exponential form is:
133 = 71 × 191
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 133
List of positive integer factors of 133 that divides 123 without a remainder.
1, 7, 19
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 123 and 133. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 133 is 1.
Also check out the Least Common Multiple of 123 and 133
Related Greatest Common Factors of 123
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Related Greatest Common Factors of 133
- GCF of 133 and 137
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