What is the Greatest Common Factor of 96896 and 96914?

Greatest common factor (GCF) of 96896 and 96914 is 2.

GCF(96896,96914) = 2

We will now calculate the prime factors of 96896 and 96914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96896 and 96914.

How to find the GCF of 96896 and 96914?

We will first find the prime factorization of 96896 and 96914. After we will calculate the factors of 96896 and 96914 and find the biggest common factor number .

Step-1: Prime Factorization of 96896

Prime factors of 96896 are 2, 757. Prime factorization of 96896 in exponential form is:

96896 = 2⁷ × 757¹

Step-2: Prime Factorization of 96914

Prime factors of 96914 are 2, 47, 1031. Prime factorization of 96914 in exponential form is:

96914 = 2¹ × 47¹ × 1031¹

Step-3: Factors of 96896

List of positive integer factors of 96896 that divides 96896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 757, 1514, 3028, 6056, 12112, 24224, 48448

Step-4: Factors of 96914

List of positive integer factors of 96914 that divides 96896 without a remainder.

1, 2, 47, 94, 1031, 2062, 48457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96896 and 96914. The biggest common factor number is the GCF number.
So the greatest common factor 96896 and 96914 is 2.

Also check out the Least Common Multiple of 96896 and 96914