What is the Greatest Common Factor of 53259 and 53265?

Greatest common factor (GCF) of 53259 and 53265 is 3.

GCF(53259,53265) = 3

We will now calculate the prime factors of 53259 and 53265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53259 and 53265.

How to find the GCF of 53259 and 53265?

We will first find the prime factorization of 53259 and 53265. After we will calculate the factors of 53259 and 53265 and find the biggest common factor number .

Step-1: Prime Factorization of 53259

Prime factors of 53259 are 3, 41, 433. Prime factorization of 53259 in exponential form is:

53259 = 3¹ × 41¹ × 433¹

Step-2: Prime Factorization of 53265

Prime factors of 53265 are 3, 5, 53, 67. Prime factorization of 53265 in exponential form is:

53265 = 3¹ × 5¹ × 53¹ × 67¹

Step-3: Factors of 53259

List of positive integer factors of 53259 that divides 53259 without a remainder.

1, 3, 41, 123, 433, 1299, 17753

Step-4: Factors of 53265

List of positive integer factors of 53265 that divides 53259 without a remainder.

1, 3, 5, 15, 53, 67, 159, 201, 265, 335, 795, 1005, 3551, 10653, 17755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53259 and 53265. The biggest common factor number is the GCF number.
So the greatest common factor 53259 and 53265 is 3.

Also check out the Least Common Multiple of 53259 and 53265