What is the Greatest Common Factor of 605 and 610?
Greatest common factor (GCF) of 605 and 610 is 5.
GCF(605,610) = 5
We will now calculate the prime factors of 605 and 610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 605 and 610.
How to find the GCF of 605 and 610?
We will first find the prime factorization of 605 and 610. After we will calculate the factors of 605 and 610 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 610
Prime factors of 610 are 2, 5, 61. Prime factorization of 610 in exponential form is:
610 = 21 × 51 × 611
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 610
List of positive integer factors of 610 that divides 605 without a remainder.
1, 2, 5, 10, 61, 122, 305
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 605 and 610. The biggest common factor number is the GCF number.
So the greatest common factor 605 and 610 is 5.
Also check out the Least Common Multiple of 605 and 610
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