What is the Greatest Common Factor of 85017 and 85035?
Greatest common factor (GCF) of 85017 and 85035 is 3.
GCF(85017,85035) = 3
We will now calculate the prime factors of 85017 and 85035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85017 and 85035.
How to find the GCF of 85017 and 85035?
We will first find the prime factorization of 85017 and 85035. After we will calculate the factors of 85017 and 85035 and find the biggest common factor number .
Step-1: Prime Factorization of 85017
Prime factors of 85017 are 3, 17, 1667. Prime factorization of 85017 in exponential form is:
85017 = 31 × 171 × 16671
Step-2: Prime Factorization of 85035
Prime factors of 85035 are 3, 5, 5669. Prime factorization of 85035 in exponential form is:
85035 = 31 × 51 × 56691
Step-3: Factors of 85017
List of positive integer factors of 85017 that divides 85017 without a remainder.
1, 3, 17, 51, 1667, 5001, 28339
Step-4: Factors of 85035
List of positive integer factors of 85035 that divides 85017 without a remainder.
1, 3, 5, 15, 5669, 17007, 28345
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 85017 and 85035. The biggest common factor number is the GCF number.
So the greatest common factor 85017 and 85035 is 3.
Also check out the Least Common Multiple of 85017 and 85035
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