What is the Greatest Common Factor of 2135 and 2150?

Greatest common factor (GCF) of 2135 and 2150 is 5.

GCF(2135,2150) = 5

We will now calculate the prime factors of 2135 and 2150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2135 and 2150.

How to find the GCF of 2135 and 2150?

We will first find the prime factorization of 2135 and 2150. After we will calculate the factors of 2135 and 2150 and find the biggest common factor number .

Step-1: Prime Factorization of 2135

Prime factors of 2135 are 5, 7, 61. Prime factorization of 2135 in exponential form is:

2135 = 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 2150

Prime factors of 2150 are 2, 5, 43. Prime factorization of 2150 in exponential form is:

2150 = 2¹ × 5² × 43¹

Step-3: Factors of 2135

List of positive integer factors of 2135 that divides 2135 without a remainder.

1, 5, 7, 35, 61, 305, 427

Step-4: Factors of 2150

List of positive integer factors of 2150 that divides 2135 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2135 and 2150. The biggest common factor number is the GCF number.
So the greatest common factor 2135 and 2150 is 5.

Also check out the Least Common Multiple of 2135 and 2150