What is the Greatest Common Factor of 605 and 612?
Greatest common factor (GCF) of 605 and 612 is 1.
GCF(605,612) = 1
We will now calculate the prime factors of 605 and 612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 605 and 612.
How to find the GCF of 605 and 612?
We will first find the prime factorization of 605 and 612. After we will calculate the factors of 605 and 612 and find the biggest common factor number .
Step-1: Prime Factorization of 605
Prime factors of 605 are 5, 11. Prime factorization of 605 in exponential form is:
605 = 51 × 112
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 605
List of positive integer factors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121
Step-4: Factors of 612
List of positive integer factors of 612 that divides 605 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 605 and 612. The biggest common factor number is the GCF number.
So the greatest common factor 605 and 612 is 1.
Also check out the Least Common Multiple of 605 and 612
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