What is the Greatest Common Factor of 66700 and 66720?

Greatest common factor (GCF) of 66700 and 66720 is 20.

GCF(66700,66720) = 20

We will now calculate the prime factors of 66700 and 66720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66700 and 66720.

How to find the GCF of 66700 and 66720?

We will first find the prime factorization of 66700 and 66720. After we will calculate the factors of 66700 and 66720 and find the biggest common factor number .

Step-1: Prime Factorization of 66700

Prime factors of 66700 are 2, 5, 23, 29. Prime factorization of 66700 in exponential form is:

66700 = 2² × 5² × 23¹ × 29¹

Step-2: Prime Factorization of 66720

Prime factors of 66720 are 2, 3, 5, 139. Prime factorization of 66720 in exponential form is:

66720 = 2⁵ × 3¹ × 5¹ × 139¹

Step-3: Factors of 66700

List of positive integer factors of 66700 that divides 66700 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 29, 46, 50, 58, 92, 100, 115, 116, 145, 230, 290, 460, 575, 580, 667, 725, 1150, 1334, 1450, 2300, 2668, 2900, 3335, 6670, 13340, 16675, 33350

Step-4: Factors of 66720

List of positive integer factors of 66720 that divides 66700 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 139, 160, 240, 278, 417, 480, 556, 695, 834, 1112, 1390, 1668, 2085, 2224, 2780, 3336, 4170, 4448, 5560, 6672, 8340, 11120, 13344, 16680, 22240, 33360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66700 and 66720. The biggest common factor number is the GCF number.
So the greatest common factor 66700 and 66720 is 20.

Also check out the Least Common Multiple of 66700 and 66720