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What is the Greatest Common Factor of 41405 and 41413?

Greatest common factor (GCF) of 41405 and 41413 is 1.

GCF(41405,41413) = 1

We will now calculate the prime factors of 41405 and 41413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41405 and 41413.

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How to find the GCF of 41405 and 41413?

We will first find the prime factorization of 41405 and 41413. After we will calculate the factors of 41405 and 41413 and find the biggest common factor number .

Step-1: Prime Factorization of 41405

Prime factors of 41405 are 5, 7, 13. Prime factorization of 41405 in exponential form is:

41405 = 51 × 72 × 132

Step-2: Prime Factorization of 41413

Prime factors of 41413 are 41413. Prime factorization of 41413 in exponential form is:

41413 = 414131

Step-3: Factors of 41405

List of positive integer factors of 41405 that divides 41405 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 169, 245, 455, 637, 845, 1183, 3185, 5915, 8281

Step-4: Factors of 41413

List of positive integer factors of 41413 that divides 41405 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41405 and 41413. The biggest common factor number is the GCF number.
So the greatest common factor 41405 and 41413 is 1.

Also check out the Least Common Multiple of 41405 and 41413