What is the Greatest Common Factor of 36074 and 36085?
Greatest common factor (GCF) of 36074 and 36085 is 1.
GCF(36074,36085) = 1
We will now calculate the prime factors of 36074 and 36085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36074 and 36085.
How to find the GCF of 36074 and 36085?
We will first find the prime factorization of 36074 and 36085. After we will calculate the factors of 36074 and 36085 and find the biggest common factor number .
Step-1: Prime Factorization of 36074
Prime factors of 36074 are 2, 17, 1061. Prime factorization of 36074 in exponential form is:
36074 = 21 × 171 × 10611
Step-2: Prime Factorization of 36085
Prime factors of 36085 are 5, 7, 1031. Prime factorization of 36085 in exponential form is:
36085 = 51 × 71 × 10311
Step-3: Factors of 36074
List of positive integer factors of 36074 that divides 36074 without a remainder.
1, 2, 17, 34, 1061, 2122, 18037
Step-4: Factors of 36085
List of positive integer factors of 36085 that divides 36074 without a remainder.
1, 5, 7, 35, 1031, 5155, 7217
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36074 and 36085. The biggest common factor number is the GCF number.
So the greatest common factor 36074 and 36085 is 1.
Also check out the Least Common Multiple of 36074 and 36085
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