What is the Greatest Common Factor of 600 and 610?
Greatest common factor (GCF) of 600 and 610 is 10.
GCF(600,610) = 10
We will now calculate the prime factors of 600 and 610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 600 and 610.
How to find the GCF of 600 and 610?
We will first find the prime factorization of 600 and 610. After we will calculate the factors of 600 and 610 and find the biggest common factor number .
Step-1: Prime Factorization of 600
Prime factors of 600 are 2, 3, 5. Prime factorization of 600 in exponential form is:
600 = 23 × 31 × 52
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 600
List of positive integer factors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300
Step-4: Factors of 610
List of positive integer factors of 610 that divides 600 without a remainder.
1, 2, 5, 10, 61, 122, 305
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 600 and 610. The biggest common factor number is the GCF number.
So the greatest common factor 600 and 610 is 10.
Also check out the Least Common Multiple of 600 and 610
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