What is the Greatest Common Factor of 594 and 603?
Greatest common factor (GCF) of 594 and 603 is 9.
GCF(594,603) = 9
We will now calculate the prime factors of 594 and 603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 594 and 603.
How to find the GCF of 594 and 603?
We will first find the prime factorization of 594 and 603. After we will calculate the factors of 594 and 603 and find the biggest common factor number .
Step-1: Prime Factorization of 594
Prime factors of 594 are 2, 3, 11. Prime factorization of 594 in exponential form is:
594 = 21 × 33 × 111
Step-2: Prime Factorization of 603
Prime factors of 603 are 3, 67. Prime factorization of 603 in exponential form is:
603 = 32 × 671
Step-3: Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297
Step-4: Factors of 603
List of positive integer factors of 603 that divides 594 without a remainder.
1, 3, 9, 67, 201
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 594 and 603. The biggest common factor number is the GCF number.
So the greatest common factor 594 and 603 is 9.
Also check out the Least Common Multiple of 594 and 603
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