What is the Greatest Common Factor of 18290 and 18297?
Greatest common factor (GCF) of 18290 and 18297 is 1.
GCF(18290,18297) = 1
We will now calculate the prime factors of 18290 and 18297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18290 and 18297.
How to find the GCF of 18290 and 18297?
We will first find the prime factorization of 18290 and 18297. After we will calculate the factors of 18290 and 18297 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 18297
Prime factors of 18297 are 3, 19, 107. Prime factorization of 18297 in exponential form is:
18297 = 32 × 191 × 1071
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 18297
List of positive integer factors of 18297 that divides 18290 without a remainder.
1, 3, 9, 19, 57, 107, 171, 321, 963, 2033, 6099
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18290 and 18297. The biggest common factor number is the GCF number.
So the greatest common factor 18290 and 18297 is 1.
Also check out the Least Common Multiple of 18290 and 18297
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