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What is the Greatest Common Factor of 58913 and 58918?

Greatest common factor (GCF) of 58913 and 58918 is 1.

GCF(58913,58918) = 1

We will now calculate the prime factors of 58913 and 58918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58913 and 58918.

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How to find the GCF of 58913 and 58918?

We will first find the prime factorization of 58913 and 58918. After we will calculate the factors of 58913 and 58918 and find the biggest common factor number .

Step-1: Prime Factorization of 58913

Prime factors of 58913 are 58913. Prime factorization of 58913 in exponential form is:

58913 = 589131

Step-2: Prime Factorization of 58918

Prime factors of 58918 are 2, 89, 331. Prime factorization of 58918 in exponential form is:

58918 = 21 × 891 × 3311

Step-3: Factors of 58913

List of positive integer factors of 58913 that divides 58913 without a remainder.

1

Step-4: Factors of 58918

List of positive integer factors of 58918 that divides 58913 without a remainder.

1, 2, 89, 178, 331, 662, 29459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58913 and 58918. The biggest common factor number is the GCF number.
So the greatest common factor 58913 and 58918 is 1.

Also check out the Least Common Multiple of 58913 and 58918