What is the Greatest Common Factor of 18966 and 18971?
Greatest common factor (GCF) of 18966 and 18971 is 1.
GCF(18966,18971) = 1
We will now calculate the prime factors of 18966 and 18971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18966 and 18971.
How to find the GCF of 18966 and 18971?
We will first find the prime factorization of 18966 and 18971. After we will calculate the factors of 18966 and 18971 and find the biggest common factor number .
Step-1: Prime Factorization of 18966
Prime factors of 18966 are 2, 3, 29, 109. Prime factorization of 18966 in exponential form is:
18966 = 21 × 31 × 291 × 1091
Step-2: Prime Factorization of 18971
Prime factors of 18971 are 61, 311. Prime factorization of 18971 in exponential form is:
18971 = 611 × 3111
Step-3: Factors of 18966
List of positive integer factors of 18966 that divides 18966 without a remainder.
1, 2, 3, 6, 29, 58, 87, 109, 174, 218, 327, 654, 3161, 6322, 9483
Step-4: Factors of 18971
List of positive integer factors of 18971 that divides 18966 without a remainder.
1, 61, 311
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18966 and 18971. The biggest common factor number is the GCF number.
So the greatest common factor 18966 and 18971 is 1.
Also check out the Least Common Multiple of 18966 and 18971
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