What is the Greatest Common Factor of 20145 and 20155?

Greatest common factor (GCF) of 20145 and 20155 is 5.

GCF(20145,20155) = 5

We will now calculate the prime factors of 20145 and 20155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20145 and 20155.

How to find the GCF of 20145 and 20155?

We will first find the prime factorization of 20145 and 20155. After we will calculate the factors of 20145 and 20155 and find the biggest common factor number .

Step-1: Prime Factorization of 20145

Prime factors of 20145 are 3, 5, 17, 79. Prime factorization of 20145 in exponential form is:

20145 = 3¹ × 5¹ × 17¹ × 79¹

Step-2: Prime Factorization of 20155

Prime factors of 20155 are 5, 29, 139. Prime factorization of 20155 in exponential form is:

20155 = 5¹ × 29¹ × 139¹

Step-3: Factors of 20145

List of positive integer factors of 20145 that divides 20145 without a remainder.

1, 3, 5, 15, 17, 51, 79, 85, 237, 255, 395, 1185, 1343, 4029, 6715

Step-4: Factors of 20155

List of positive integer factors of 20155 that divides 20145 without a remainder.

1, 5, 29, 139, 145, 695, 4031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20145 and 20155. The biggest common factor number is the GCF number.
So the greatest common factor 20145 and 20155 is 5.

Also check out the Least Common Multiple of 20145 and 20155