What is the Greatest Common Factor of 98792 and 98800?

Greatest common factor (GCF) of 98792 and 98800 is 8.

GCF(98792,98800) = 8

We will now calculate the prime factors of 98792 and 98800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98792 and 98800.

How to find the GCF of 98792 and 98800?

We will first find the prime factorization of 98792 and 98800. After we will calculate the factors of 98792 and 98800 and find the biggest common factor number .

Step-1: Prime Factorization of 98792

Prime factors of 98792 are 2, 53, 233. Prime factorization of 98792 in exponential form is:

98792 = 2³ × 53¹ × 233¹

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 98792

List of positive integer factors of 98792 that divides 98792 without a remainder.

1, 2, 4, 8, 53, 106, 212, 233, 424, 466, 932, 1864, 12349, 24698, 49396

Step-4: Factors of 98800

List of positive integer factors of 98800 that divides 98792 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 98792 and 98800. The biggest common factor number is the GCF number.
So the greatest common factor 98792 and 98800 is 8.

Also check out the Least Common Multiple of 98792 and 98800