What is the Greatest Common Factor of 97856 and 97872?

Greatest common factor (GCF) of 97856 and 97872 is 16.

GCF(97856,97872) = 16

We will now calculate the prime factors of 97856 and 97872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97856 and 97872.

How to find the GCF of 97856 and 97872?

We will first find the prime factorization of 97856 and 97872. After we will calculate the factors of 97856 and 97872 and find the biggest common factor number .

Step-1: Prime Factorization of 97856

Prime factors of 97856 are 2, 11, 139. Prime factorization of 97856 in exponential form is:

97856 = 2⁶ × 11¹ × 139¹

Step-2: Prime Factorization of 97872

Prime factors of 97872 are 2, 3, 2039. Prime factorization of 97872 in exponential form is:

97872 = 2⁴ × 3¹ × 2039¹

Step-3: Factors of 97856

List of positive integer factors of 97856 that divides 97856 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 139, 176, 278, 352, 556, 704, 1112, 1529, 2224, 3058, 4448, 6116, 8896, 12232, 24464, 48928

Step-4: Factors of 97872

List of positive integer factors of 97872 that divides 97856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2039, 4078, 6117, 8156, 12234, 16312, 24468, 32624, 48936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97856 and 97872. The biggest common factor number is the GCF number.
So the greatest common factor 97856 and 97872 is 16.

Also check out the Least Common Multiple of 97856 and 97872