What is the Greatest Common Factor of 97600 and 97610?

Greatest common factor (GCF) of 97600 and 97610 is 10.

GCF(97600,97610) = 10

We will now calculate the prime factors of 97600 and 97610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97600 and 97610.

How to find the GCF of 97600 and 97610?

We will first find the prime factorization of 97600 and 97610. After we will calculate the factors of 97600 and 97610 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 97610

Prime factors of 97610 are 2, 5, 43, 227. Prime factorization of 97610 in exponential form is:

97610 = 2¹ × 5¹ × 43¹ × 227¹

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 97610

List of positive integer factors of 97610 that divides 97600 without a remainder.

1, 2, 5, 10, 43, 86, 215, 227, 430, 454, 1135, 2270, 9761, 19522, 48805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97600 and 97610. The biggest common factor number is the GCF number.
So the greatest common factor 97600 and 97610 is 10.

Also check out the Least Common Multiple of 97600 and 97610