What is the Greatest Common Factor of 123 and 134?
Greatest common factor (GCF) of 123 and 134 is 1.
GCF(123,134) = 1
We will now calculate the prime factors of 123 and 134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 123 and 134.
How to find the GCF of 123 and 134?
We will first find the prime factorization of 123 and 134. After we will calculate the factors of 123 and 134 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 134
Prime factors of 134 are 2, 67. Prime factorization of 134 in exponential form is:
134 = 21 × 671
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 134
List of positive integer factors of 134 that divides 123 without a remainder.
1, 2, 67
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 123 and 134. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 134 is 1.
Also check out the Least Common Multiple of 123 and 134
Related Greatest Common Factors of 123
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Related Greatest Common Factors of 134
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