What is the Greatest Common Factor of 596 and 604?
Greatest common factor (GCF) of 596 and 604 is 4.
GCF(596,604) = 4
We will now calculate the prime factors of 596 and 604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 596 and 604.
How to find the GCF of 596 and 604?
We will first find the prime factorization of 596 and 604. After we will calculate the factors of 596 and 604 and find the biggest common factor number .
Step-1: Prime Factorization of 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
Step-2: Prime Factorization of 604
Prime factors of 604 are 2, 151. Prime factorization of 604 in exponential form is:
604 = 22 × 1511
Step-3: Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298
Step-4: Factors of 604
List of positive integer factors of 604 that divides 596 without a remainder.
1, 2, 4, 151, 302
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 596 and 604. The biggest common factor number is the GCF number.
So the greatest common factor 596 and 604 is 4.
Also check out the Least Common Multiple of 596 and 604
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