What is the Greatest Common Factor of 62523 and 62535?

Greatest common factor (GCF) of 62523 and 62535 is 3.

GCF(62523,62535) = 3

We will now calculate the prime factors of 62523 and 62535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62523 and 62535.

How to find the GCF of 62523 and 62535?

We will first find the prime factorization of 62523 and 62535. After we will calculate the factors of 62523 and 62535 and find the biggest common factor number .

Step-1: Prime Factorization of 62523

Prime factors of 62523 are 3, 6947. Prime factorization of 62523 in exponential form is:

62523 = 3² × 6947¹

Step-2: Prime Factorization of 62535

Prime factors of 62535 are 3, 5, 11, 379. Prime factorization of 62535 in exponential form is:

62535 = 3¹ × 5¹ × 11¹ × 379¹

Step-3: Factors of 62523

List of positive integer factors of 62523 that divides 62523 without a remainder.

1, 3, 9, 6947, 20841

Step-4: Factors of 62535

List of positive integer factors of 62535 that divides 62523 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 379, 1137, 1895, 4169, 5685, 12507, 20845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62523 and 62535. The biggest common factor number is the GCF number.
So the greatest common factor 62523 and 62535 is 3.

Also check out the Least Common Multiple of 62523 and 62535