What is the Greatest Common Factor of 18290 and 18308?
Greatest common factor (GCF) of 18290 and 18308 is 2.
GCF(18290,18308) = 2
We will now calculate the prime factors of 18290 and 18308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18290 and 18308.
How to find the GCF of 18290 and 18308?
We will first find the prime factorization of 18290 and 18308. After we will calculate the factors of 18290 and 18308 and find the biggest common factor number .
Step-1: Prime Factorization of 18290
Prime factors of 18290 are 2, 5, 31, 59. Prime factorization of 18290 in exponential form is:
18290 = 21 × 51 × 311 × 591
Step-2: Prime Factorization of 18308
Prime factors of 18308 are 2, 23, 199. Prime factorization of 18308 in exponential form is:
18308 = 22 × 231 × 1991
Step-3: Factors of 18290
List of positive integer factors of 18290 that divides 18290 without a remainder.
1, 2, 5, 10, 31, 59, 62, 118, 155, 295, 310, 590, 1829, 3658, 9145
Step-4: Factors of 18308
List of positive integer factors of 18308 that divides 18290 without a remainder.
1, 2, 4, 23, 46, 92, 199, 398, 796, 4577, 9154
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18290 and 18308. The biggest common factor number is the GCF number.
So the greatest common factor 18290 and 18308 is 2.
Also check out the Least Common Multiple of 18290 and 18308
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