What is the Greatest Common Factor of 23124 and 23143?
Greatest common factor (GCF) of 23124 and 23143 is 1.
GCF(23124,23143) = 1
We will now calculate the prime factors of 23124 and 23143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23124 and 23143.
How to find the GCF of 23124 and 23143?
We will first find the prime factorization of 23124 and 23143. After we will calculate the factors of 23124 and 23143 and find the biggest common factor number .
Step-1: Prime Factorization of 23124
Prime factors of 23124 are 2, 3, 41, 47. Prime factorization of 23124 in exponential form is:
23124 = 22 × 31 × 411 × 471
Step-2: Prime Factorization of 23143
Prime factors of 23143 are 23143. Prime factorization of 23143 in exponential form is:
23143 = 231431
Step-3: Factors of 23124
List of positive integer factors of 23124 that divides 23124 without a remainder.
1, 2, 3, 4, 6, 12, 41, 47, 82, 94, 123, 141, 164, 188, 246, 282, 492, 564, 1927, 3854, 5781, 7708, 11562
Step-4: Factors of 23143
List of positive integer factors of 23143 that divides 23124 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23124 and 23143. The biggest common factor number is the GCF number.
So the greatest common factor 23124 and 23143 is 1.
Also check out the Least Common Multiple of 23124 and 23143
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