What is the Greatest Common Factor of 20150 and 20165?

Greatest common factor (GCF) of 20150 and 20165 is 5.

GCF(20150,20165) = 5

We will now calculate the prime factors of 20150 and 20165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20150 and 20165.

How to find the GCF of 20150 and 20165?

We will first find the prime factorization of 20150 and 20165. After we will calculate the factors of 20150 and 20165 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 20165

Prime factors of 20165 are 5, 37, 109. Prime factorization of 20165 in exponential form is:

20165 = 5¹ × 37¹ × 109¹

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 20165

List of positive integer factors of 20165 that divides 20150 without a remainder.

1, 5, 37, 109, 185, 545, 4033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20150 and 20165. The biggest common factor number is the GCF number.
So the greatest common factor 20150 and 20165 is 5.

Also check out the Least Common Multiple of 20150 and 20165