What is the Greatest Common Factor of 113 and 123?
Greatest common factor (GCF) of 113 and 123 is 1.
GCF(113,123) = 1
We will now calculate the prime factors of 113 and 123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 113 and 123.
How to find the GCF of 113 and 123?
We will first find the prime factorization of 113 and 123. After we will calculate the factors of 113 and 123 and find the biggest common factor number .
Step-1: Prime Factorization of 113
Prime factors of 113 are 113. Prime factorization of 113 in exponential form is:
113 = 1131
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 113
List of positive integer factors of 113 that divides 113 without a remainder.
1
Step-4: Factors of 123
List of positive integer factors of 123 that divides 113 without a remainder.
1, 3, 41
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 113 and 123. The biggest common factor number is the GCF number.
So the greatest common factor 113 and 123 is 1.
Also check out the Least Common Multiple of 113 and 123
Related Greatest Common Factors of 113
- GCF of 113 and 117
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- GCF of 113 and 119
- GCF of 113 and 120
- GCF of 113 and 121
- GCF of 113 and 122
- GCF of 113 and 123
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Related Greatest Common Factors of 123
- GCF of 123 and 127
- GCF of 123 and 128
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- GCF of 123 and 133
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