What is the Greatest Common Factor of 20125 and 20135?

Greatest common factor (GCF) of 20125 and 20135 is 5.

GCF(20125,20135) = 5

We will now calculate the prime factors of 20125 and 20135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20125 and 20135.

How to find the GCF of 20125 and 20135?

We will first find the prime factorization of 20125 and 20135. After we will calculate the factors of 20125 and 20135 and find the biggest common factor number .

Step-1: Prime Factorization of 20125

Prime factors of 20125 are 5, 7, 23. Prime factorization of 20125 in exponential form is:

20125 = 5³ × 7¹ × 23¹

Step-2: Prime Factorization of 20135

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

20135 = 5¹ × 4027¹

Step-3: Factors of 20125

List of positive integer factors of 20125 that divides 20125 without a remainder.

1, 5, 7, 23, 25, 35, 115, 125, 161, 175, 575, 805, 875, 2875, 4025

Step-4: Factors of 20135

List of positive integer factors of 20135 that divides 20125 without a remainder.

1, 5, 4027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20125 and 20135. The biggest common factor number is the GCF number.
So the greatest common factor 20125 and 20135 is 5.

Also check out the Least Common Multiple of 20125 and 20135