What is the Greatest Common Factor of 96492 and 96509?

Greatest common factor (GCF) of 96492 and 96509 is 17.

GCF(96492,96509) = 17

We will now calculate the prime factors of 96492 and 96509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96492 and 96509.

How to find the GCF of 96492 and 96509?

We will first find the prime factorization of 96492 and 96509. After we will calculate the factors of 96492 and 96509 and find the biggest common factor number .

Step-1: Prime Factorization of 96492

Prime factors of 96492 are 2, 3, 11, 17, 43. Prime factorization of 96492 in exponential form is:

96492 = 2² × 3¹ × 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 96509

Prime factors of 96509 are 7, 17, 811. Prime factorization of 96509 in exponential form is:

96509 = 7¹ × 17¹ × 811¹

Step-3: Factors of 96492

List of positive integer factors of 96492 that divides 96492 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 43, 44, 51, 66, 68, 86, 102, 129, 132, 172, 187, 204, 258, 374, 473, 516, 561, 731, 748, 946, 1122, 1419, 1462, 1892, 2193, 2244, 2838, 2924, 4386, 5676, 8041, 8772, 16082, 24123, 32164, 48246

Step-4: Factors of 96509

List of positive integer factors of 96509 that divides 96492 without a remainder.

1, 7, 17, 119, 811, 5677, 13787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96492 and 96509. The biggest common factor number is the GCF number.
So the greatest common factor 96492 and 96509 is 17.

Also check out the Least Common Multiple of 96492 and 96509