What is the Greatest Common Factor of 52188 and 52197?

Greatest common factor (GCF) of 52188 and 52197 is 3.

GCF(52188,52197) = 3

We will now calculate the prime factors of 52188 and 52197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52188 and 52197.

How to find the GCF of 52188 and 52197?

We will first find the prime factorization of 52188 and 52197. After we will calculate the factors of 52188 and 52197 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52197

Prime factors of 52197 are 3, 127, 137. Prime factorization of 52197 in exponential form is:

52197 = 3¹ × 127¹ × 137¹

Step-3: Factors of 52188

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

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

Step-4: Factors of 52197

List of positive integer factors of 52197 that divides 52188 without a remainder.

1, 3, 127, 137, 381, 411, 17399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52188 and 52197. The biggest common factor number is the GCF number.
So the greatest common factor 52188 and 52197 is 3.

Also check out the Least Common Multiple of 52188 and 52197