What is the Greatest Common Factor of 119 and 123?
Greatest common factor (GCF) of 119 and 123 is 1.
GCF(119,123) = 1
We will now calculate the prime factors of 119 and 123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 119 and 123.
How to find the GCF of 119 and 123?
We will first find the prime factorization of 119 and 123. After we will calculate the factors of 119 and 123 and find the biggest common factor number .
Step-1: Prime Factorization of 119
Prime factors of 119 are 7, 17. Prime factorization of 119 in exponential form is:
119 = 71 × 171
Step-2: Prime Factorization of 123
Prime factors of 123 are 3, 41. Prime factorization of 123 in exponential form is:
123 = 31 × 411
Step-3: Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1, 7, 17
Step-4: Factors of 123
List of positive integer factors of 123 that divides 119 without a remainder.
1, 3, 41
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 119 and 123. The biggest common factor number is the GCF number.
So the greatest common factor 119 and 123 is 1.
Also check out the Least Common Multiple of 119 and 123
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