What is the Greatest Common Factor of 96063 and 96074?

Greatest common factor (GCF) of 96063 and 96074 is 11.

GCF(96063,96074) = 11

We will now calculate the prime factors of 96063 and 96074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96063 and 96074.

How to find the GCF of 96063 and 96074?

We will first find the prime factorization of 96063 and 96074. After we will calculate the factors of 96063 and 96074 and find the biggest common factor number .

Step-1: Prime Factorization of 96063

Prime factors of 96063 are 3, 11, 41, 71. Prime factorization of 96063 in exponential form is:

96063 = 3¹ × 11¹ × 41¹ × 71¹

Step-2: Prime Factorization of 96074

Prime factors of 96074 are 2, 11, 397. Prime factorization of 96074 in exponential form is:

96074 = 2¹ × 11² × 397¹

Step-3: Factors of 96063

List of positive integer factors of 96063 that divides 96063 without a remainder.

1, 3, 11, 33, 41, 71, 123, 213, 451, 781, 1353, 2343, 2911, 8733, 32021

Step-4: Factors of 96074

List of positive integer factors of 96074 that divides 96063 without a remainder.

1, 2, 11, 22, 121, 242, 397, 794, 4367, 8734, 48037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96063 and 96074. The biggest common factor number is the GCF number.
So the greatest common factor 96063 and 96074 is 11.

Also check out the Least Common Multiple of 96063 and 96074