What is the Greatest Common Factor of 52132 and 52150?

Greatest common factor (GCF) of 52132 and 52150 is 2.

GCF(52132,52150) = 2

We will now calculate the prime factors of 52132 and 52150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52132 and 52150.

How to find the GCF of 52132 and 52150?

We will first find the prime factorization of 52132 and 52150. After we will calculate the factors of 52132 and 52150 and find the biggest common factor number .

Step-1: Prime Factorization of 52132

Prime factors of 52132 are 2, 13033. Prime factorization of 52132 in exponential form is:

52132 = 2² × 13033¹

Step-2: Prime Factorization of 52150

Prime factors of 52150 are 2, 5, 7, 149. Prime factorization of 52150 in exponential form is:

52150 = 2¹ × 5² × 7¹ × 149¹

Step-3: Factors of 52132

List of positive integer factors of 52132 that divides 52132 without a remainder.

1, 2, 4, 13033, 26066

Step-4: Factors of 52150

List of positive integer factors of 52150 that divides 52132 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 149, 175, 298, 350, 745, 1043, 1490, 2086, 3725, 5215, 7450, 10430, 26075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52132 and 52150. The biggest common factor number is the GCF number.
So the greatest common factor 52132 and 52150 is 2.

Also check out the Least Common Multiple of 52132 and 52150