What is the Greatest Common Factor of 666 and 686?
Greatest common factor (GCF) of 666 and 686 is 2.
GCF(666,686) = 2
We will now calculate the prime factors of 666 and 686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 666 and 686.
How to find the GCF of 666 and 686?
We will first find the prime factorization of 666 and 686. After we will calculate the factors of 666 and 686 and find the biggest common factor number .
Step-1: Prime Factorization of 666
Prime factors of 666 are 2, 3, 37. Prime factorization of 666 in exponential form is:
666 = 21 × 32 × 371
Step-2: Prime Factorization of 686
Prime factors of 686 are 2, 7. Prime factorization of 686 in exponential form is:
686 = 21 × 73
Step-3: Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333
Step-4: Factors of 686
List of positive integer factors of 686 that divides 666 without a remainder.
1, 2, 7, 14, 49, 98, 343
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 666 and 686. The biggest common factor number is the GCF number.
So the greatest common factor 666 and 686 is 2.
Also check out the Least Common Multiple of 666 and 686
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