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What is the Greatest Common Factor of 40205 and 40213?

Greatest common factor (GCF) of 40205 and 40213 is 1.

GCF(40205,40213) = 1

We will now calculate the prime factors of 40205 and 40213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40205 and 40213.

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How to find the GCF of 40205 and 40213?

We will first find the prime factorization of 40205 and 40213. After we will calculate the factors of 40205 and 40213 and find the biggest common factor number .

Step-1: Prime Factorization of 40205

Prime factors of 40205 are 5, 11, 17, 43. Prime factorization of 40205 in exponential form is:

40205 = 51 × 111 × 171 × 431

Step-2: Prime Factorization of 40213

Prime factors of 40213 are 40213. Prime factorization of 40213 in exponential form is:

40213 = 402131

Step-3: Factors of 40205

List of positive integer factors of 40205 that divides 40205 without a remainder.

1, 5, 11, 17, 43, 55, 85, 187, 215, 473, 731, 935, 2365, 3655, 8041

Step-4: Factors of 40213

List of positive integer factors of 40213 that divides 40205 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40205 and 40213. The biggest common factor number is the GCF number.
So the greatest common factor 40205 and 40213 is 1.

Also check out the Least Common Multiple of 40205 and 40213