What is the Greatest Common Factor of 53523 and 53538?

Greatest common factor (GCF) of 53523 and 53538 is 3.

GCF(53523,53538) = 3

We will now calculate the prime factors of 53523 and 53538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53523 and 53538.

How to find the GCF of 53523 and 53538?

We will first find the prime factorization of 53523 and 53538. After we will calculate the factors of 53523 and 53538 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 53538

Prime factors of 53538 are 2, 3, 8923. Prime factorization of 53538 in exponential form is:

53538 = 2¹ × 3¹ × 8923¹

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 53538

List of positive integer factors of 53538 that divides 53523 without a remainder.

1, 2, 3, 6, 8923, 17846, 26769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53523 and 53538. The biggest common factor number is the GCF number.
So the greatest common factor 53523 and 53538 is 3.

Also check out the Least Common Multiple of 53523 and 53538