What is the Greatest Common Factor of 2132 and 2150?

Greatest common factor (GCF) of 2132 and 2150 is 2.

GCF(2132,2150) = 2

We will now calculate the prime factors of 2132 and 2150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2132 and 2150.

How to find the GCF of 2132 and 2150?

We will first find the prime factorization of 2132 and 2150. After we will calculate the factors of 2132 and 2150 and find the biggest common factor number .

Step-1: Prime Factorization of 2132

Prime factors of 2132 are 2, 13, 41. Prime factorization of 2132 in exponential form is:

2132 = 2² × 13¹ × 41¹

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 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066

Step-4: Factors of 2150

List of positive integer factors of 2150 that divides 2132 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 2132 and 2150. The biggest common factor number is the GCF number.
So the greatest common factor 2132 and 2150 is 2.

Also check out the Least Common Multiple of 2132 and 2150