What is the Greatest Common Factor of 97600 and 97616?

Greatest common factor (GCF) of 97600 and 97616 is 16.

GCF(97600,97616) = 16

We will now calculate the prime factors of 97600 and 97616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97600 and 97616.

How to find the GCF of 97600 and 97616?

We will first find the prime factorization of 97600 and 97616. After we will calculate the factors of 97600 and 97616 and find the biggest common factor number .

Step-1: Prime Factorization of 97600

Prime factors of 97600 are 2, 5, 61. Prime factorization of 97600 in exponential form is:

97600 = 2⁶ × 5² × 61¹

Step-2: Prime Factorization of 97616

Prime factors of 97616 are 2, 6101. Prime factorization of 97616 in exponential form is:

97616 = 2⁴ × 6101¹

Step-3: Factors of 97600

List of positive integer factors of 97600 that divides 97600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 61, 64, 80, 100, 122, 160, 200, 244, 305, 320, 400, 488, 610, 800, 976, 1220, 1525, 1600, 1952, 2440, 3050, 3904, 4880, 6100, 9760, 12200, 19520, 24400, 48800

Step-4: Factors of 97616

List of positive integer factors of 97616 that divides 97600 without a remainder.

1, 2, 4, 8, 16, 6101, 12202, 24404, 48808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97600 and 97616. The biggest common factor number is the GCF number.
So the greatest common factor 97600 and 97616 is 16.

Also check out the Least Common Multiple of 97600 and 97616