What is the Greatest Common Factor of 20165 and 20170?

Greatest common factor (GCF) of 20165 and 20170 is 5.

GCF(20165,20170) = 5

We will now calculate the prime factors of 20165 and 20170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20165 and 20170.

How to find the GCF of 20165 and 20170?

We will first find the prime factorization of 20165 and 20170. After we will calculate the factors of 20165 and 20170 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20170

Prime factors of 20170 are 2, 5, 2017. Prime factorization of 20170 in exponential form is:

20170 = 2¹ × 5¹ × 2017¹

Step-3: Factors of 20165

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

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

Step-4: Factors of 20170

List of positive integer factors of 20170 that divides 20165 without a remainder.

1, 2, 5, 10, 2017, 4034, 10085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20165 and 20170. The biggest common factor number is the GCF number.
So the greatest common factor 20165 and 20170 is 5.

Also check out the Least Common Multiple of 20165 and 20170