What is the Greatest Common Factor of 96901 and 96908?

Greatest common factor (GCF) of 96901 and 96908 is 7.

GCF(96901,96908) = 7

We will now calculate the prime factors of 96901 and 96908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96901 and 96908.

How to find the GCF of 96901 and 96908?

We will first find the prime factorization of 96901 and 96908. After we will calculate the factors of 96901 and 96908 and find the biggest common factor number .

Step-1: Prime Factorization of 96901

Prime factors of 96901 are 7, 109, 127. Prime factorization of 96901 in exponential form is:

96901 = 7¹ × 109¹ × 127¹

Step-2: Prime Factorization of 96908

Prime factors of 96908 are 2, 7, 3461. Prime factorization of 96908 in exponential form is:

96908 = 2² × 7¹ × 3461¹

Step-3: Factors of 96901

List of positive integer factors of 96901 that divides 96901 without a remainder.

1, 7, 109, 127, 763, 889, 13843

Step-4: Factors of 96908

List of positive integer factors of 96908 that divides 96901 without a remainder.

1, 2, 4, 7, 14, 28, 3461, 6922, 13844, 24227, 48454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96901 and 96908. The biggest common factor number is the GCF number.
So the greatest common factor 96901 and 96908 is 7.

Also check out the Least Common Multiple of 96901 and 96908