What is the Greatest Common Factor of 603 and 612?
Greatest common factor (GCF) of 603 and 612 is 9.
GCF(603,612) = 9
We will now calculate the prime factors of 603 and 612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 603 and 612.
How to find the GCF of 603 and 612?
We will first find the prime factorization of 603 and 612. After we will calculate the factors of 603 and 612 and find the biggest common factor number .
Step-1: Prime Factorization of 603
Prime factors of 603 are 3, 67. Prime factorization of 603 in exponential form is:
603 = 32 × 671
Step-2: Prime Factorization of 612
Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:
612 = 22 × 32 × 171
Step-3: Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201
Step-4: Factors of 612
List of positive integer factors of 612 that divides 603 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 603 and 612. The biggest common factor number is the GCF number.
So the greatest common factor 603 and 612 is 9.
Also check out the Least Common Multiple of 603 and 612
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