What is the Greatest Common Factor of 98780 and 98800?

Greatest common factor (GCF) of 98780 and 98800 is 20.

GCF(98780,98800) = 20

We will now calculate the prime factors of 98780 and 98800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98780 and 98800.

How to find the GCF of 98780 and 98800?

We will first find the prime factorization of 98780 and 98800. After we will calculate the factors of 98780 and 98800 and find the biggest common factor number .

Step-1: Prime Factorization of 98780

Prime factors of 98780 are 2, 5, 11, 449. Prime factorization of 98780 in exponential form is:

98780 = 2² × 5¹ × 11¹ × 449¹

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 98780

List of positive integer factors of 98780 that divides 98780 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 449, 898, 1796, 2245, 4490, 4939, 8980, 9878, 19756, 24695, 49390

Step-4: Factors of 98800

List of positive integer factors of 98800 that divides 98780 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 98780 and 98800. The biggest common factor number is the GCF number.
So the greatest common factor 98780 and 98800 is 20.

Also check out the Least Common Multiple of 98780 and 98800