What is the Greatest Common Factor of 96492 and 96511?

Greatest common factor (GCF) of 96492 and 96511 is 1.

GCF(96492,96511) = 1

We will now calculate the prime factors of 96492 and 96511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96492 and 96511.

How to find the GCF of 96492 and 96511?

We will first find the prime factorization of 96492 and 96511. After we will calculate the factors of 96492 and 96511 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 96511

Prime factors of 96511 are 103, 937. Prime factorization of 96511 in exponential form is:

96511 = 103¹ × 937¹

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 96511

List of positive integer factors of 96511 that divides 96492 without a remainder.

1, 103, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96492 and 96511. The biggest common factor number is the GCF number.
So the greatest common factor 96492 and 96511 is 1.

Also check out the Least Common Multiple of 96492 and 96511