What is the Greatest Common Factor of 578 and 596?
Greatest common factor (GCF) of 578 and 596 is 2.
GCF(578,596) = 2
We will now calculate the prime factors of 578 and 596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 578 and 596.
How to find the GCF of 578 and 596?
We will first find the prime factorization of 578 and 596. After we will calculate the factors of 578 and 596 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 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
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 596
List of positive integer factors of 596 that divides 578 without a remainder.
1, 2, 4, 149, 298
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 578 and 596. The biggest common factor number is the GCF number.
So the greatest common factor 578 and 596 is 2.
Also check out the Least Common Multiple of 578 and 596
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