What is the Greatest Common Factor of 20135 and 20155?

Greatest common factor (GCF) of 20135 and 20155 is 5.

GCF(20135,20155) = 5

We will now calculate the prime factors of 20135 and 20155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20135 and 20155.

How to find the GCF of 20135 and 20155?

We will first find the prime factorization of 20135 and 20155. After we will calculate the factors of 20135 and 20155 and find the biggest common factor number .

Step-1: Prime Factorization of 20135

Prime factors of 20135 are 5, 4027. Prime factorization of 20135 in exponential form is:

20135 = 5¹ × 4027¹

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 20135

List of positive integer factors of 20135 that divides 20135 without a remainder.

1, 5, 4027

Step-4: Factors of 20155

List of positive integer factors of 20155 that divides 20135 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20135 and 20155. The biggest common factor number is the GCF number.
So the greatest common factor 20135 and 20155 is 5.

Also check out the Least Common Multiple of 20135 and 20155