What is the Greatest Common Factor of 106 and 123?
Greatest common factor (GCF) of 106 and 123 is 1.
GCF(106,123) = 1
We will now calculate the prime factors of 106 and 123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 106 and 123.
How to find the GCF of 106 and 123?
We will first find the prime factorization of 106 and 123. After we will calculate the factors of 106 and 123 and find the biggest common factor number .
Step-1: Prime Factorization of 106
Prime factors of 106 are 2, 53. Prime factorization of 106 in exponential form is:
106 = 21 × 531
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 106
List of positive integer factors of 106 that divides 106 without a remainder.
1, 2, 53
Step-4: Factors of 123
List of positive integer factors of 123 that divides 106 without a remainder.
1, 3, 41
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 106 and 123. The biggest common factor number is the GCF number.
So the greatest common factor 106 and 123 is 1.
Also check out the Least Common Multiple of 106 and 123
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Related Greatest Common Factors of 123
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