What is the Greatest Common Factor of 96506 and 96524?

Greatest common factor (GCF) of 96506 and 96524 is 2.

GCF(96506,96524) = 2

We will now calculate the prime factors of 96506 and 96524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96506 and 96524.

How to find the GCF of 96506 and 96524?

We will first find the prime factorization of 96506 and 96524. After we will calculate the factors of 96506 and 96524 and find the biggest common factor number .

Step-1: Prime Factorization of 96506

Prime factors of 96506 are 2, 73, 661. Prime factorization of 96506 in exponential form is:

96506 = 2¹ × 73¹ × 661¹

Step-2: Prime Factorization of 96524

Prime factors of 96524 are 2, 59, 409. Prime factorization of 96524 in exponential form is:

96524 = 2² × 59¹ × 409¹

Step-3: Factors of 96506

List of positive integer factors of 96506 that divides 96506 without a remainder.

1, 2, 73, 146, 661, 1322, 48253

Step-4: Factors of 96524

List of positive integer factors of 96524 that divides 96506 without a remainder.

1, 2, 4, 59, 118, 236, 409, 818, 1636, 24131, 48262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96506 and 96524. The biggest common factor number is the GCF number.
So the greatest common factor 96506 and 96524 is 2.

Also check out the Least Common Multiple of 96506 and 96524