What is the Greatest Common Factor of 57993 and 58003?
Greatest common factor (GCF) of 57993 and 58003 is 1.
GCF(57993,58003) = 1
We will now calculate the prime factors of 57993 and 58003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57993 and 58003.
How to find the GCF of 57993 and 58003?
We will first find the prime factorization of 57993 and 58003. After we will calculate the factors of 57993 and 58003 and find the biggest common factor number .
Step-1: Prime Factorization of 57993
Prime factors of 57993 are 3, 13, 1487. Prime factorization of 57993 in exponential form is:
57993 = 31 × 131 × 14871
Step-2: Prime Factorization of 58003
Prime factors of 58003 are 11, 5273. Prime factorization of 58003 in exponential form is:
58003 = 111 × 52731
Step-3: Factors of 57993
List of positive integer factors of 57993 that divides 57993 without a remainder.
1, 3, 13, 39, 1487, 4461, 19331
Step-4: Factors of 58003
List of positive integer factors of 58003 that divides 57993 without a remainder.
1, 11, 5273
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57993 and 58003. The biggest common factor number is the GCF number.
So the greatest common factor 57993 and 58003 is 1.
Also check out the Least Common Multiple of 57993 and 58003
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