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What is the Greatest Common Factor of 20143 and 20150?

Greatest common factor (GCF) of 20143 and 20150 is 1.

GCF(20143,20150) = 1

We will now calculate the prime factors of 20143 and 20150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20143 and 20150.

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How to find the GCF of 20143 and 20150?

We will first find the prime factorization of 20143 and 20150. After we will calculate the factors of 20143 and 20150 and find the biggest common factor number .

Step-1: Prime Factorization of 20143

Prime factors of 20143 are 20143. Prime factorization of 20143 in exponential form is:

20143 = 201431

Step-2: Prime Factorization of 20150

Prime factors of 20150 are 2, 5, 13, 31. Prime factorization of 20150 in exponential form is:

20150 = 21 × 52 × 131 × 311

Step-3: Factors of 20143

List of positive integer factors of 20143 that divides 20143 without a remainder.

1

Step-4: Factors of 20150

List of positive integer factors of 20150 that divides 20143 without a remainder.

1, 2, 5, 10, 13, 25, 26, 31, 50, 62, 65, 130, 155, 310, 325, 403, 650, 775, 806, 1550, 2015, 4030, 10075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20143 and 20150. The biggest common factor number is the GCF number.
So the greatest common factor 20143 and 20150 is 1.

Also check out the Least Common Multiple of 20143 and 20150