What is the Greatest Common Factor of 53523 and 53537?

Greatest common factor (GCF) of 53523 and 53537 is 1.

GCF(53523,53537) = 1

We will now calculate the prime factors of 53523 and 53537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53523 and 53537.

How to find the GCF of 53523 and 53537?

We will first find the prime factorization of 53523 and 53537. After we will calculate the factors of 53523 and 53537 and find the biggest common factor number .

Step-1: Prime Factorization of 53523

Prime factors of 53523 are 3, 19, 313. Prime factorization of 53523 in exponential form is:

53523 = 3² × 19¹ × 313¹

Step-2: Prime Factorization of 53537

Prime factors of 53537 are 11, 31, 157. Prime factorization of 53537 in exponential form is:

53537 = 11¹ × 31¹ × 157¹

Step-3: Factors of 53523

List of positive integer factors of 53523 that divides 53523 without a remainder.

1, 3, 9, 19, 57, 171, 313, 939, 2817, 5947, 17841

Step-4: Factors of 53537

List of positive integer factors of 53537 that divides 53523 without a remainder.

1, 11, 31, 157, 341, 1727, 4867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53523 and 53537. The biggest common factor number is the GCF number.
So the greatest common factor 53523 and 53537 is 1.

Also check out the Least Common Multiple of 53523 and 53537