What is the Greatest Common Factor of 24110 and 24123?
Greatest common factor (GCF) of 24110 and 24123 is 1.
GCF(24110,24123) = 1
We will now calculate the prime factors of 24110 and 24123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24110 and 24123.
How to find the GCF of 24110 and 24123?
We will first find the prime factorization of 24110 and 24123. After we will calculate the factors of 24110 and 24123 and find the biggest common factor number .
Step-1: Prime Factorization of 24110
Prime factors of 24110 are 2, 5, 2411. Prime factorization of 24110 in exponential form is:
24110 = 21 × 51 × 24111
Step-2: Prime Factorization of 24123
Prime factors of 24123 are 3, 11, 17, 43. Prime factorization of 24123 in exponential form is:
24123 = 31 × 111 × 171 × 431
Step-3: Factors of 24110
List of positive integer factors of 24110 that divides 24110 without a remainder.
1, 2, 5, 10, 2411, 4822, 12055
Step-4: Factors of 24123
List of positive integer factors of 24123 that divides 24110 without a remainder.
1, 3, 11, 17, 33, 43, 51, 129, 187, 473, 561, 731, 1419, 2193, 8041
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24110 and 24123. The biggest common factor number is the GCF number.
So the greatest common factor 24110 and 24123 is 1.
Also check out the Least Common Multiple of 24110 and 24123
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