What is the Greatest Common Factor of 96864 and 96883?

Greatest common factor (GCF) of 96864 and 96883 is 1.

GCF(96864,96883) = 1

We will now calculate the prime factors of 96864 and 96883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96864 and 96883.

How to find the GCF of 96864 and 96883?

We will first find the prime factorization of 96864 and 96883. After we will calculate the factors of 96864 and 96883 and find the biggest common factor number .

Step-1: Prime Factorization of 96864

Prime factors of 96864 are 2, 3, 1009. Prime factorization of 96864 in exponential form is:

96864 = 2⁵ × 3¹ × 1009¹

Step-2: Prime Factorization of 96883

Prime factors of 96883 are 17, 41, 139. Prime factorization of 96883 in exponential form is:

96883 = 17¹ × 41¹ × 139¹

Step-3: Factors of 96864

List of positive integer factors of 96864 that divides 96864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216, 32288, 48432

Step-4: Factors of 96883

List of positive integer factors of 96883 that divides 96864 without a remainder.

1, 17, 41, 139, 697, 2363, 5699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96864 and 96883. The biggest common factor number is the GCF number.
So the greatest common factor 96864 and 96883 is 1.

Also check out the Least Common Multiple of 96864 and 96883