What is the Greatest Common Factor of 23043 and 23055?
Greatest common factor (GCF) of 23043 and 23055 is 3.
GCF(23043,23055) = 3
We will now calculate the prime factors of 23043 and 23055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23043 and 23055.
How to find the GCF of 23043 and 23055?
We will first find the prime factorization of 23043 and 23055. After we will calculate the factors of 23043 and 23055 and find the biggest common factor number .
Step-1: Prime Factorization of 23043
Prime factors of 23043 are 3, 7681. Prime factorization of 23043 in exponential form is:
23043 = 31 × 76811
Step-2: Prime Factorization of 23055
Prime factors of 23055 are 3, 5, 29, 53. Prime factorization of 23055 in exponential form is:
23055 = 31 × 51 × 291 × 531
Step-3: Factors of 23043
List of positive integer factors of 23043 that divides 23043 without a remainder.
1, 3, 7681
Step-4: Factors of 23055
List of positive integer factors of 23055 that divides 23043 without a remainder.
1, 3, 5, 15, 29, 53, 87, 145, 159, 265, 435, 795, 1537, 4611, 7685
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23043 and 23055. The biggest common factor number is the GCF number.
So the greatest common factor 23043 and 23055 is 3.
Also check out the Least Common Multiple of 23043 and 23055
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