What is the Greatest Common Factor of 96492 and 96503?

Greatest common factor (GCF) of 96492 and 96503 is 11.

GCF(96492,96503) = 11

We will now calculate the prime factors of 96492 and 96503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96492 and 96503.

How to find the GCF of 96492 and 96503?

We will first find the prime factorization of 96492 and 96503. After we will calculate the factors of 96492 and 96503 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 96503

Prime factors of 96503 are 11, 31, 283. Prime factorization of 96503 in exponential form is:

96503 = 11¹ × 31¹ × 283¹

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 96503

List of positive integer factors of 96503 that divides 96492 without a remainder.

1, 11, 31, 283, 341, 3113, 8773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96492 and 96503. The biggest common factor number is the GCF number.
So the greatest common factor 96492 and 96503 is 11.

Also check out the Least Common Multiple of 96492 and 96503