What is the Greatest Common Factor of 8508 and 8517?
Greatest common factor (GCF) of 8508 and 8517 is 3.
GCF(8508,8517) = 3
We will now calculate the prime factors of 8508 and 8517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8508 and 8517.
How to find the GCF of 8508 and 8517?
We will first find the prime factorization of 8508 and 8517. After we will calculate the factors of 8508 and 8517 and find the biggest common factor number .
Step-1: Prime Factorization of 8508
Prime factors of 8508 are 2, 3, 709. Prime factorization of 8508 in exponential form is:
8508 = 22 × 31 × 7091
Step-2: Prime Factorization of 8517
Prime factors of 8517 are 3, 17, 167. Prime factorization of 8517 in exponential form is:
8517 = 31 × 171 × 1671
Step-3: Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254
Step-4: Factors of 8517
List of positive integer factors of 8517 that divides 8508 without a remainder.
1, 3, 17, 51, 167, 501, 2839
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8508 and 8517. The biggest common factor number is the GCF number.
So the greatest common factor 8508 and 8517 is 3.
Also check out the Least Common Multiple of 8508 and 8517
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