What is the Greatest Common Factor of 96851 and 96864?

Greatest common factor (GCF) of 96851 and 96864 is 1.

GCF(96851,96864) = 1

We will now calculate the prime factors of 96851 and 96864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96851 and 96864.

How to find the GCF of 96851 and 96864?

We will first find the prime factorization of 96851 and 96864. After we will calculate the factors of 96851 and 96864 and find the biggest common factor number .

Step-1: Prime Factorization of 96851

Prime factors of 96851 are 96851. Prime factorization of 96851 in exponential form is:

96851 = 96851¹

Step-2: 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-3: Factors of 96851

List of positive integer factors of 96851 that divides 96851 without a remainder.

Step-4: Factors of 96864

List of positive integer factors of 96864 that divides 96851 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96851 and 96864. The biggest common factor number is the GCF number.
So the greatest common factor 96851 and 96864 is 1.

Also check out the Least Common Multiple of 96851 and 96864