What is the Greatest Common Factor of 52245 and 52257?

Greatest common factor (GCF) of 52245 and 52257 is 3.

GCF(52245,52257) = 3

We will now calculate the prime factors of 52245 and 52257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52245 and 52257.

How to find the GCF of 52245 and 52257?

We will first find the prime factorization of 52245 and 52257. After we will calculate the factors of 52245 and 52257 and find the biggest common factor number .

Step-1: Prime Factorization of 52245

Prime factors of 52245 are 3, 5, 43. Prime factorization of 52245 in exponential form is:

52245 = 3⁵ × 5¹ × 43¹

Step-2: Prime Factorization of 52257

Prime factors of 52257 are 3, 17419. Prime factorization of 52257 in exponential form is:

52257 = 3¹ × 17419¹

Step-3: Factors of 52245

List of positive integer factors of 52245 that divides 52245 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 81, 129, 135, 215, 243, 387, 405, 645, 1161, 1215, 1935, 3483, 5805, 10449, 17415

Step-4: Factors of 52257

List of positive integer factors of 52257 that divides 52245 without a remainder.

1, 3, 17419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52245 and 52257. The biggest common factor number is the GCF number.
So the greatest common factor 52245 and 52257 is 3.

Also check out the Least Common Multiple of 52245 and 52257