What is the Greatest Common Factor of 98800 and 98813?

Greatest common factor (GCF) of 98800 and 98813 is 13.

GCF(98800,98813) = 13

We will now calculate the prime factors of 98800 and 98813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98800 and 98813.

How to find the GCF of 98800 and 98813?

We will first find the prime factorization of 98800 and 98813. After we will calculate the factors of 98800 and 98813 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 98813

Prime factors of 98813 are 11, 13, 691. Prime factorization of 98813 in exponential form is:

98813 = 11¹ × 13¹ × 691¹

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 98813

List of positive integer factors of 98813 that divides 98800 without a remainder.

1, 11, 13, 143, 691, 7601, 8983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98800 and 98813. The biggest common factor number is the GCF number.
So the greatest common factor 98800 and 98813 is 13.

Also check out the Least Common Multiple of 98800 and 98813