What is the Greatest Common Factor of 98800 and 98819?

Greatest common factor (GCF) of 98800 and 98819 is 19.

GCF(98800,98819) = 19

We will now calculate the prime factors of 98800 and 98819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98800 and 98819.

How to find the GCF of 98800 and 98819?

We will first find the prime factorization of 98800 and 98819. After we will calculate the factors of 98800 and 98819 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 98819

Prime factors of 98819 are 7, 19, 743. Prime factorization of 98819 in exponential form is:

98819 = 7¹ × 19¹ × 743¹

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 98819

List of positive integer factors of 98819 that divides 98800 without a remainder.

1, 7, 19, 133, 743, 5201, 14117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98800 and 98819. The biggest common factor number is the GCF number.
So the greatest common factor 98800 and 98819 is 19.

Also check out the Least Common Multiple of 98800 and 98819