What is the Greatest Common Factor of 33523 and 33537?

Greatest common factor (GCF) of 33523 and 33537 is 7.

GCF(33523,33537) = 7

We will now calculate the prime factors of 33523 and 33537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33523 and 33537.

How to find the GCF of 33523 and 33537?

We will first find the prime factorization of 33523 and 33537. After we will calculate the factors of 33523 and 33537 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 33537

Prime factors of 33537 are 3, 7, 1597. Prime factorization of 33537 in exponential form is:

33537 = 3¹ × 7¹ × 1597¹

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 33537

List of positive integer factors of 33537 that divides 33523 without a remainder.

1, 3, 7, 21, 1597, 4791, 11179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33523 and 33537. The biggest common factor number is the GCF number.
So the greatest common factor 33523 and 33537 is 7.

Also check out the Least Common Multiple of 33523 and 33537