What is the Greatest Common Factor of 96510 and 96524?

Greatest common factor (GCF) of 96510 and 96524 is 2.

GCF(96510,96524) = 2

We will now calculate the prime factors of 96510 and 96524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96510 and 96524.

How to find the GCF of 96510 and 96524?

We will first find the prime factorization of 96510 and 96524. After we will calculate the factors of 96510 and 96524 and find the biggest common factor number .

Step-1: Prime Factorization of 96510

Prime factors of 96510 are 2, 3, 5, 3217. Prime factorization of 96510 in exponential form is:

96510 = 2¹ × 3¹ × 5¹ × 3217¹

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 96510

List of positive integer factors of 96510 that divides 96510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3217, 6434, 9651, 16085, 19302, 32170, 48255

Step-4: Factors of 96524

List of positive integer factors of 96524 that divides 96510 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 96510 and 96524. The biggest common factor number is the GCF number.
So the greatest common factor 96510 and 96524 is 2.

Also check out the Least Common Multiple of 96510 and 96524