What is the Greatest Common Factor of 97852 and 97856?

Greatest common factor (GCF) of 97852 and 97856 is 4.

GCF(97852,97856) = 4

We will now calculate the prime factors of 97852 and 97856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97852 and 97856.

How to find the GCF of 97852 and 97856?

We will first find the prime factorization of 97852 and 97856. After we will calculate the factors of 97852 and 97856 and find the biggest common factor number .

Step-1: Prime Factorization of 97852

Prime factors of 97852 are 2, 17, 1439. Prime factorization of 97852 in exponential form is:

97852 = 2² × 17¹ × 1439¹

Step-2: 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-3: Factors of 97852

List of positive integer factors of 97852 that divides 97852 without a remainder.

1, 2, 4, 17, 34, 68, 1439, 2878, 5756, 24463, 48926

Step-4: Factors of 97856

List of positive integer factors of 97856 that divides 97852 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97852 and 97856. The biggest common factor number is the GCF number.
So the greatest common factor 97852 and 97856 is 4.

Also check out the Least Common Multiple of 97852 and 97856