What is the Greatest Common Factor of 98790 and 98800?

Greatest common factor (GCF) of 98790 and 98800 is 10.

GCF(98790,98800) = 10

We will now calculate the prime factors of 98790 and 98800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98790 and 98800.

How to find the GCF of 98790 and 98800?

We will first find the prime factorization of 98790 and 98800. After we will calculate the factors of 98790 and 98800 and find the biggest common factor number .

Step-1: Prime Factorization of 98790

Prime factors of 98790 are 2, 3, 5, 37, 89. Prime factorization of 98790 in exponential form is:

98790 = 2¹ × 3¹ × 5¹ × 37¹ × 89¹

Step-2: 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-3: Factors of 98790

List of positive integer factors of 98790 that divides 98790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 89, 111, 178, 185, 222, 267, 370, 445, 534, 555, 890, 1110, 1335, 2670, 3293, 6586, 9879, 16465, 19758, 32930, 49395

Step-4: Factors of 98800

List of positive integer factors of 98800 that divides 98790 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98790 and 98800. The biggest common factor number is the GCF number.
So the greatest common factor 98790 and 98800 is 10.

Also check out the Least Common Multiple of 98790 and 98800