What is the Greatest Common Factor of 66957 and 66966?
Greatest common factor (GCF) of 66957 and 66966 is 3.
GCF(66957,66966) = 3
We will now calculate the prime factors of 66957 and 66966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66957 and 66966.
How to find the GCF of 66957 and 66966?
We will first find the prime factorization of 66957 and 66966. After we will calculate the factors of 66957 and 66966 and find the biggest common factor number .
Step-1: Prime Factorization of 66957
Prime factors of 66957 are 3, 11, 2029. Prime factorization of 66957 in exponential form is:
66957 = 31 × 111 × 20291
Step-2: Prime Factorization of 66966
Prime factors of 66966 are 2, 3, 11161. Prime factorization of 66966 in exponential form is:
66966 = 21 × 31 × 111611
Step-3: Factors of 66957
List of positive integer factors of 66957 that divides 66957 without a remainder.
1, 3, 11, 33, 2029, 6087, 22319
Step-4: Factors of 66966
List of positive integer factors of 66966 that divides 66957 without a remainder.
1, 2, 3, 6, 11161, 22322, 33483
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66957 and 66966. The biggest common factor number is the GCF number.
So the greatest common factor 66957 and 66966 is 3.
Also check out the Least Common Multiple of 66957 and 66966
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