What is the Greatest Common Factor of 123 and 127?
Greatest common factor (GCF) of 123 and 127 is 1.
GCF(123,127) = 1
We will now calculate the prime factors of 123 and 127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 123 and 127.
How to find the GCF of 123 and 127?
We will first find the prime factorization of 123 and 127. After we will calculate the factors of 123 and 127 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 127
Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:
127 = 1271
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 127
List of positive integer factors of 127 that divides 123 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 123 and 127. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 127 is 1.
Also check out the Least Common Multiple of 123 and 127
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