What is the Greatest Common Factor of 28298 and 28305?
Greatest common factor (GCF) of 28298 and 28305 is 1.
GCF(28298,28305) = 1
We will now calculate the prime factors of 28298 and 28305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28298 and 28305.
How to find the GCF of 28298 and 28305?
We will first find the prime factorization of 28298 and 28305. After we will calculate the factors of 28298 and 28305 and find the biggest common factor number .
Step-1: Prime Factorization of 28298
Prime factors of 28298 are 2, 14149. Prime factorization of 28298 in exponential form is:
28298 = 21 × 141491
Step-2: Prime Factorization of 28305
Prime factors of 28305 are 3, 5, 17, 37. Prime factorization of 28305 in exponential form is:
28305 = 32 × 51 × 171 × 371
Step-3: Factors of 28298
List of positive integer factors of 28298 that divides 28298 without a remainder.
1, 2, 14149
Step-4: Factors of 28305
List of positive integer factors of 28305 that divides 28298 without a remainder.
1, 3, 5, 9, 15, 17, 37, 45, 51, 85, 111, 153, 185, 255, 333, 555, 629, 765, 1665, 1887, 3145, 5661, 9435
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28298 and 28305. The biggest common factor number is the GCF number.
So the greatest common factor 28298 and 28305 is 1.
Also check out the Least Common Multiple of 28298 and 28305
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