What is the Greatest Common Factor of 66870 and 66880?

Greatest common factor (GCF) of 66870 and 66880 is 10.

GCF(66870,66880) = 10

We will now calculate the prime factors of 66870 and 66880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66870 and 66880.

How to find the GCF of 66870 and 66880?

We will first find the prime factorization of 66870 and 66880. After we will calculate the factors of 66870 and 66880 and find the biggest common factor number .

Step-1: Prime Factorization of 66870

Prime factors of 66870 are 2, 3, 5, 743. Prime factorization of 66870 in exponential form is:

66870 = 2¹ × 3² × 5¹ × 743¹

Step-2: 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-3: Factors of 66870

List of positive integer factors of 66870 that divides 66870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 743, 1486, 2229, 3715, 4458, 6687, 7430, 11145, 13374, 22290, 33435

Step-4: Factors of 66880

List of positive integer factors of 66880 that divides 66870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66870 and 66880. The biggest common factor number is the GCF number.
So the greatest common factor 66870 and 66880 is 10.

Also check out the Least Common Multiple of 66870 and 66880