What is the Greatest Common Factor of 578 and 597?
Greatest common factor (GCF) of 578 and 597 is 1.
GCF(578,597) = 1
We will now calculate the prime factors of 578 and 597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 578 and 597.
How to find the GCF of 578 and 597?
We will first find the prime factorization of 578 and 597. After we will calculate the factors of 578 and 597 and find the biggest common factor number .
Step-1: Prime Factorization of 578
Prime factors of 578 are 2, 17. Prime factorization of 578 in exponential form is:
578 = 21 × 172
Step-2: Prime Factorization of 597
Prime factors of 597 are 3, 199. Prime factorization of 597 in exponential form is:
597 = 31 × 1991
Step-3: Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289
Step-4: Factors of 597
List of positive integer factors of 597 that divides 578 without a remainder.
1, 3, 199
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 578 and 597. The biggest common factor number is the GCF number.
So the greatest common factor 578 and 597 is 1.
Also check out the Least Common Multiple of 578 and 597
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