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What is the Greatest Common Factor of 18065 and 18077?

Greatest common factor (GCF) of 18065 and 18077 is 1.

GCF(18065,18077) = 1

We will now calculate the prime factors of 18065 and 18077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18065 and 18077.

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How to find the GCF of 18065 and 18077?

We will first find the prime factorization of 18065 and 18077. After we will calculate the factors of 18065 and 18077 and find the biggest common factor number .

Step-1: Prime Factorization of 18065

Prime factors of 18065 are 5, 3613. Prime factorization of 18065 in exponential form is:

18065 = 51 × 36131

Step-2: Prime Factorization of 18077

Prime factors of 18077 are 18077. Prime factorization of 18077 in exponential form is:

18077 = 180771

Step-3: Factors of 18065

List of positive integer factors of 18065 that divides 18065 without a remainder.

1, 5, 3613

Step-4: Factors of 18077

List of positive integer factors of 18077 that divides 18065 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18065 and 18077. The biggest common factor number is the GCF number.
So the greatest common factor 18065 and 18077 is 1.

Also check out the Least Common Multiple of 18065 and 18077