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What is the Greatest Common Factor of 68213 and 68220?

Greatest common factor (GCF) of 68213 and 68220 is 1.

GCF(68213,68220) = 1

We will now calculate the prime factors of 68213 and 68220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68213 and 68220.

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How to find the GCF of 68213 and 68220?

We will first find the prime factorization of 68213 and 68220. After we will calculate the factors of 68213 and 68220 and find the biggest common factor number .

Step-1: Prime Factorization of 68213

Prime factors of 68213 are 68213. Prime factorization of 68213 in exponential form is:

68213 = 682131

Step-2: Prime Factorization of 68220

Prime factors of 68220 are 2, 3, 5, 379. Prime factorization of 68220 in exponential form is:

68220 = 22 × 32 × 51 × 3791

Step-3: Factors of 68213

List of positive integer factors of 68213 that divides 68213 without a remainder.

1

Step-4: Factors of 68220

List of positive integer factors of 68220 that divides 68213 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 379, 758, 1137, 1516, 1895, 2274, 3411, 3790, 4548, 5685, 6822, 7580, 11370, 13644, 17055, 22740, 34110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68213 and 68220. The biggest common factor number is the GCF number.
So the greatest common factor 68213 and 68220 is 1.

Also check out the Least Common Multiple of 68213 and 68220