What is the Greatest Common Factor of 23113 and 23121?
Greatest common factor (GCF) of 23113 and 23121 is 1.
GCF(23113,23121) = 1
We will now calculate the prime factors of 23113 and 23121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23113 and 23121.
How to find the GCF of 23113 and 23121?
We will first find the prime factorization of 23113 and 23121. After we will calculate the factors of 23113 and 23121 and find the biggest common factor number .
Step-1: Prime Factorization of 23113
Prime factors of 23113 are 29, 797. Prime factorization of 23113 in exponential form is:
23113 = 291 × 7971
Step-2: Prime Factorization of 23121
Prime factors of 23121 are 3, 7, 367. Prime factorization of 23121 in exponential form is:
23121 = 32 × 71 × 3671
Step-3: Factors of 23113
List of positive integer factors of 23113 that divides 23113 without a remainder.
1, 29, 797
Step-4: Factors of 23121
List of positive integer factors of 23121 that divides 23113 without a remainder.
1, 3, 7, 9, 21, 63, 367, 1101, 2569, 3303, 7707
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23113 and 23121. The biggest common factor number is the GCF number.
So the greatest common factor 23113 and 23121 is 1.
Also check out the Least Common Multiple of 23113 and 23121
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