What is the Greatest Common Factor of 53509 and 53523?

Greatest common factor (GCF) of 53509 and 53523 is 1.

GCF(53509,53523) = 1

We will now calculate the prime factors of 53509 and 53523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53509 and 53523.

How to find the GCF of 53509 and 53523?

We will first find the prime factorization of 53509 and 53523. After we will calculate the factors of 53509 and 53523 and find the biggest common factor number .

Step-1: Prime Factorization of 53509

Prime factors of 53509 are 73, 733. Prime factorization of 53509 in exponential form is:

53509 = 73¹ × 733¹

Step-2: 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-3: Factors of 53509

List of positive integer factors of 53509 that divides 53509 without a remainder.

1, 73, 733

Step-4: Factors of 53523

List of positive integer factors of 53523 that divides 53509 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53509 and 53523. The biggest common factor number is the GCF number.
So the greatest common factor 53509 and 53523 is 1.

Also check out the Least Common Multiple of 53509 and 53523