What is the Greatest Common Factor of 96523 and 96537?

Greatest common factor (GCF) of 96523 and 96537 is 7.

GCF(96523,96537) = 7

We will now calculate the prime factors of 96523 and 96537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96523 and 96537.

How to find the GCF of 96523 and 96537?

We will first find the prime factorization of 96523 and 96537. After we will calculate the factors of 96523 and 96537 and find the biggest common factor number .

Step-1: Prime Factorization of 96523

Prime factors of 96523 are 7, 13789. Prime factorization of 96523 in exponential form is:

96523 = 7¹ × 13789¹

Step-2: Prime Factorization of 96537

Prime factors of 96537 are 3, 7, 4597. Prime factorization of 96537 in exponential form is:

96537 = 3¹ × 7¹ × 4597¹

Step-3: Factors of 96523

List of positive integer factors of 96523 that divides 96523 without a remainder.

1, 7, 13789

Step-4: Factors of 96537

List of positive integer factors of 96537 that divides 96523 without a remainder.

1, 3, 7, 21, 4597, 13791, 32179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96523 and 96537. The biggest common factor number is the GCF number.
So the greatest common factor 96523 and 96537 is 7.

Also check out the Least Common Multiple of 96523 and 96537