What is the Greatest Common Factor of 8569 and 8585?
Greatest common factor (GCF) of 8569 and 8585 is 1.
GCF(8569,8585) = 1
We will now calculate the prime factors of 8569 and 8585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8569 and 8585.
How to find the GCF of 8569 and 8585?
We will first find the prime factorization of 8569 and 8585. After we will calculate the factors of 8569 and 8585 and find the biggest common factor number .
Step-1: Prime Factorization of 8569
Prime factors of 8569 are 11, 19, 41. Prime factorization of 8569 in exponential form is:
8569 = 111 × 191 × 411
Step-2: Prime Factorization of 8585
Prime factors of 8585 are 5, 17, 101. Prime factorization of 8585 in exponential form is:
8585 = 51 × 171 × 1011
Step-3: Factors of 8569
List of positive integer factors of 8569 that divides 8569 without a remainder.
1, 11, 19, 41, 209, 451, 779
Step-4: Factors of 8585
List of positive integer factors of 8585 that divides 8569 without a remainder.
1, 5, 17, 85, 101, 505, 1717
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8569 and 8585. The biggest common factor number is the GCF number.
So the greatest common factor 8569 and 8585 is 1.
Also check out the Least Common Multiple of 8569 and 8585
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