What is the Greatest Common Factor of 53259 and 53263?

Greatest common factor (GCF) of 53259 and 53263 is 1.

GCF(53259,53263) = 1

We will now calculate the prime factors of 53259 and 53263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53259 and 53263.

How to find the GCF of 53259 and 53263?

We will first find the prime factorization of 53259 and 53263. After we will calculate the factors of 53259 and 53263 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 53263

Prime factors of 53263 are 7, 1087. Prime factorization of 53263 in exponential form is:

53263 = 7² × 1087¹

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 53263

List of positive integer factors of 53263 that divides 53259 without a remainder.

1, 7, 49, 1087, 7609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53259 and 53263. The biggest common factor number is the GCF number.
So the greatest common factor 53259 and 53263 is 1.

Also check out the Least Common Multiple of 53259 and 53263