What is the Greatest Common Factor of 52233 and 52245?

Greatest common factor (GCF) of 52233 and 52245 is 3.

GCF(52233,52245) = 3

We will now calculate the prime factors of 52233 and 52245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52233 and 52245.

How to find the GCF of 52233 and 52245?

We will first find the prime factorization of 52233 and 52245. After we will calculate the factors of 52233 and 52245 and find the biggest common factor number .

Step-1: Prime Factorization of 52233

Prime factors of 52233 are 3, 23, 757. Prime factorization of 52233 in exponential form is:

52233 = 3¹ × 23¹ × 757¹

Step-2: 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-3: Factors of 52233

List of positive integer factors of 52233 that divides 52233 without a remainder.

1, 3, 23, 69, 757, 2271, 17411

Step-4: Factors of 52245

List of positive integer factors of 52245 that divides 52233 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52233 and 52245. The biggest common factor number is the GCF number.
So the greatest common factor 52233 and 52245 is 3.

Also check out the Least Common Multiple of 52233 and 52245