What is the Greatest Common Factor of 18382 and 18386?
Greatest common factor (GCF) of 18382 and 18386 is 2.
GCF(18382,18386) = 2
We will now calculate the prime factors of 18382 and 18386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18382 and 18386.
How to find the GCF of 18382 and 18386?
We will first find the prime factorization of 18382 and 18386. After we will calculate the factors of 18382 and 18386 and find the biggest common factor number .
Step-1: Prime Factorization of 18382
Prime factors of 18382 are 2, 7, 13, 101. Prime factorization of 18382 in exponential form is:
18382 = 21 × 71 × 131 × 1011
Step-2: Prime Factorization of 18386
Prime factors of 18386 are 2, 29, 317. Prime factorization of 18386 in exponential form is:
18386 = 21 × 291 × 3171
Step-3: Factors of 18382
List of positive integer factors of 18382 that divides 18382 without a remainder.
1, 2, 7, 13, 14, 26, 91, 101, 182, 202, 707, 1313, 1414, 2626, 9191
Step-4: Factors of 18386
List of positive integer factors of 18386 that divides 18382 without a remainder.
1, 2, 29, 58, 317, 634, 9193
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18382 and 18386. The biggest common factor number is the GCF number.
So the greatest common factor 18382 and 18386 is 2.
Also check out the Least Common Multiple of 18382 and 18386
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