What is the Greatest Common Factor of 28290 and 28303?
Greatest common factor (GCF) of 28290 and 28303 is 1.
GCF(28290,28303) = 1
We will now calculate the prime factors of 28290 and 28303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28290 and 28303.
How to find the GCF of 28290 and 28303?
We will first find the prime factorization of 28290 and 28303. After we will calculate the factors of 28290 and 28303 and find the biggest common factor number .
Step-1: Prime Factorization of 28290
Prime factors of 28290 are 2, 3, 5, 23, 41. Prime factorization of 28290 in exponential form is:
28290 = 21 × 31 × 51 × 231 × 411
Step-2: Prime Factorization of 28303
Prime factors of 28303 are 11, 31, 83. Prime factorization of 28303 in exponential form is:
28303 = 111 × 311 × 831
Step-3: Factors of 28290
List of positive integer factors of 28290 that divides 28290 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 41, 46, 69, 82, 115, 123, 138, 205, 230, 246, 345, 410, 615, 690, 943, 1230, 1886, 2829, 4715, 5658, 9430, 14145
Step-4: Factors of 28303
List of positive integer factors of 28303 that divides 28290 without a remainder.
1, 11, 31, 83, 341, 913, 2573
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28290 and 28303. The biggest common factor number is the GCF number.
So the greatest common factor 28290 and 28303 is 1.
Also check out the Least Common Multiple of 28290 and 28303
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