What is the Greatest Common Factor of 584 and 604?
Greatest common factor (GCF) of 584 and 604 is 4.
GCF(584,604) = 4
We will now calculate the prime factors of 584 and 604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 584 and 604.
How to find the GCF of 584 and 604?
We will first find the prime factorization of 584 and 604. After we will calculate the factors of 584 and 604 and find the biggest common factor number .
Step-1: Prime Factorization of 584
Prime factors of 584 are 2, 73. Prime factorization of 584 in exponential form is:
584 = 23 × 731
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 584
List of positive integer factors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292
Step-4: Factors of 604
List of positive integer factors of 604 that divides 584 without a remainder.
1, 2, 4, 151, 302
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 584 and 604. The biggest common factor number is the GCF number.
So the greatest common factor 584 and 604 is 4.
Also check out the Least Common Multiple of 584 and 604
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