What is the Greatest Common Factor of 96896 and 96907?

Greatest common factor (GCF) of 96896 and 96907 is 1.

GCF(96896,96907) = 1

We will now calculate the prime factors of 96896 and 96907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96896 and 96907.

How to find the GCF of 96896 and 96907?

We will first find the prime factorization of 96896 and 96907. After we will calculate the factors of 96896 and 96907 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 96907

Prime factors of 96907 are 96907. Prime factorization of 96907 in exponential form is:

96907 = 96907¹

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 96907

List of positive integer factors of 96907 that divides 96896 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96896 and 96907. The biggest common factor number is the GCF number.
So the greatest common factor 96896 and 96907 is 1.

Also check out the Least Common Multiple of 96896 and 96907