What is the Greatest Common Factor of 66880 and 66899?

Greatest common factor (GCF) of 66880 and 66899 is 19.

GCF(66880,66899) = 19

We will now calculate the prime factors of 66880 and 66899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66880 and 66899.

How to find the GCF of 66880 and 66899?

We will first find the prime factorization of 66880 and 66899. After we will calculate the factors of 66880 and 66899 and find the biggest common factor number .

Step-1: Prime Factorization of 66880

Prime factors of 66880 are 2, 5, 11, 19. Prime factorization of 66880 in exponential form is:

66880 = 2⁶ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 66899

Prime factors of 66899 are 7, 19, 503. Prime factorization of 66899 in exponential form is:

66899 = 7¹ × 19¹ × 503¹

Step-3: Factors of 66880

List of positive integer factors of 66880 that divides 66880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55, 64, 76, 80, 88, 95, 110, 152, 160, 176, 190, 209, 220, 304, 320, 352, 380, 418, 440, 608, 704, 760, 836, 880, 1045, 1216, 1520, 1672, 1760, 2090, 3040, 3344, 3520, 4180, 6080, 6688, 8360, 13376, 16720, 33440

Step-4: Factors of 66899

List of positive integer factors of 66899 that divides 66880 without a remainder.

1, 7, 19, 133, 503, 3521, 9557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66880 and 66899. The biggest common factor number is the GCF number.
So the greatest common factor 66880 and 66899 is 19.

Also check out the Least Common Multiple of 66880 and 66899