What is the Greatest Common Factor of 20150 and 20163?

Greatest common factor (GCF) of 20150 and 20163 is 13.

GCF(20150,20163) = 13

We will now calculate the prime factors of 20150 and 20163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20150 and 20163.

How to find the GCF of 20150 and 20163?

We will first find the prime factorization of 20150 and 20163. After we will calculate the factors of 20150 and 20163 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20163

Prime factors of 20163 are 3, 11, 13, 47. Prime factorization of 20163 in exponential form is:

20163 = 3¹ × 11¹ × 13¹ × 47¹

Step-3: Factors of 20150

List of positive integer factors of 20150 that divides 20150 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

Step-4: Factors of 20163

List of positive integer factors of 20163 that divides 20150 without a remainder.

1, 3, 11, 13, 33, 39, 47, 141, 143, 429, 517, 611, 1551, 1833, 6721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20150 and 20163. The biggest common factor number is the GCF number.
So the greatest common factor 20150 and 20163 is 13.

Also check out the Least Common Multiple of 20150 and 20163