What is the Greatest Common Factor of 98800 and 98810?

Greatest common factor (GCF) of 98800 and 98810 is 10.

GCF(98800,98810) = 10

We will now calculate the prime factors of 98800 and 98810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98800 and 98810.

How to find the GCF of 98800 and 98810?

We will first find the prime factorization of 98800 and 98810. After we will calculate the factors of 98800 and 98810 and find the biggest common factor number .

Step-1: Prime Factorization of 98800

Prime factors of 98800 are 2, 5, 13, 19. Prime factorization of 98800 in exponential form is:

98800 = 2⁴ × 5² × 13¹ × 19¹

Step-2: Prime Factorization of 98810

Prime factors of 98810 are 2, 5, 41, 241. Prime factorization of 98810 in exponential form is:

98810 = 2¹ × 5¹ × 41¹ × 241¹

Step-3: Factors of 98800

List of positive integer factors of 98800 that divides 98800 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 25, 26, 38, 40, 50, 52, 65, 76, 80, 95, 100, 104, 130, 152, 190, 200, 208, 247, 260, 304, 325, 380, 400, 475, 494, 520, 650, 760, 950, 988, 1040, 1235, 1300, 1520, 1900, 1976, 2470, 2600, 3800, 3952, 4940, 5200, 6175, 7600, 9880, 12350, 19760, 24700, 49400

Step-4: Factors of 98810

List of positive integer factors of 98810 that divides 98800 without a remainder.

1, 2, 5, 10, 41, 82, 205, 241, 410, 482, 1205, 2410, 9881, 19762, 49405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98800 and 98810. The biggest common factor number is the GCF number.
So the greatest common factor 98800 and 98810 is 10.

Also check out the Least Common Multiple of 98800 and 98810