What is the Greatest Common Factor of 657 and 666?
Greatest common factor (GCF) of 657 and 666 is 9.
GCF(657,666) = 9
We will now calculate the prime factors of 657 and 666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 657 and 666.
How to find the GCF of 657 and 666?
We will first find the prime factorization of 657 and 666. After we will calculate the factors of 657 and 666 and find the biggest common factor number .
Step-1: Prime Factorization of 657
Prime factors of 657 are 3, 73. Prime factorization of 657 in exponential form is:
657 = 32 × 731
Step-2: 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-3: Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219
Step-4: Factors of 666
List of positive integer factors of 666 that divides 657 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 657 and 666. The biggest common factor number is the GCF number.
So the greatest common factor 657 and 666 is 9.
Also check out the Least Common Multiple of 657 and 666
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