What is the Greatest Common Factor of 9880 and 9899?

Greatest common factor (GCF) of 9880 and 9899 is 19.

GCF(9880,9899) = 19

We will now calculate the prime factors of 9880 and 9899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9880 and 9899.

How to find the GCF of 9880 and 9899?

We will first find the prime factorization of 9880 and 9899. After we will calculate the factors of 9880 and 9899 and find the biggest common factor number .

Step-1: Prime Factorization of 9880

Prime factors of 9880 are 2, 5, 13, 19. Prime factorization of 9880 in exponential form is:

9880 = 2³ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 9899

Prime factors of 9899 are 19, 521. Prime factorization of 9899 in exponential form is:

9899 = 19¹ × 521¹

Step-3: Factors of 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940

Step-4: Factors of 9899

List of positive integer factors of 9899 that divides 9880 without a remainder.

1, 19, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9880 and 9899. The biggest common factor number is the GCF number.
So the greatest common factor 9880 and 9899 is 19.

Also check out the Least Common Multiple of 9880 and 9899