What is the Greatest Common Factor of 52180 and 52188?

Greatest common factor (GCF) of 52180 and 52188 is 4.

GCF(52180,52188) = 4

We will now calculate the prime factors of 52180 and 52188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52180 and 52188.

How to find the GCF of 52180 and 52188?

We will first find the prime factorization of 52180 and 52188. After we will calculate the factors of 52180 and 52188 and find the biggest common factor number .

Step-1: Prime Factorization of 52180

Prime factors of 52180 are 2, 5, 2609. Prime factorization of 52180 in exponential form is:

52180 = 2² × 5¹ × 2609¹

Step-2: Prime Factorization of 52188

Prime factors of 52188 are 2, 3, 4349. Prime factorization of 52188 in exponential form is:

52188 = 2² × 3¹ × 4349¹

Step-3: Factors of 52180

List of positive integer factors of 52180 that divides 52180 without a remainder.

1, 2, 4, 5, 10, 20, 2609, 5218, 10436, 13045, 26090

Step-4: Factors of 52188

List of positive integer factors of 52188 that divides 52180 without a remainder.

1, 2, 3, 4, 6, 12, 4349, 8698, 13047, 17396, 26094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52180 and 52188. The biggest common factor number is the GCF number.
So the greatest common factor 52180 and 52188 is 4.

Also check out the Least Common Multiple of 52180 and 52188