What is the Greatest Common Factor of 33523 and 33527?

Greatest common factor (GCF) of 33523 and 33527 is 1.

GCF(33523,33527) = 1

We will now calculate the prime factors of 33523 and 33527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33523 and 33527.

How to find the GCF of 33523 and 33527?

We will first find the prime factorization of 33523 and 33527. After we will calculate the factors of 33523 and 33527 and find the biggest common factor number .

Step-1: Prime Factorization of 33523

Prime factors of 33523 are 7, 4789. Prime factorization of 33523 in exponential form is:

33523 = 7¹ × 4789¹

Step-2: Prime Factorization of 33527

Prime factors of 33527 are 13, 2579. Prime factorization of 33527 in exponential form is:

33527 = 13¹ × 2579¹

Step-3: Factors of 33523

List of positive integer factors of 33523 that divides 33523 without a remainder.

1, 7, 4789

Step-4: Factors of 33527

List of positive integer factors of 33527 that divides 33523 without a remainder.

1, 13, 2579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33523 and 33527. The biggest common factor number is the GCF number.
So the greatest common factor 33523 and 33527 is 1.

Also check out the Least Common Multiple of 33523 and 33527