What is the Greatest Common Factor of 66700 and 66710?

Greatest common factor (GCF) of 66700 and 66710 is 10.

GCF(66700,66710) = 10

We will now calculate the prime factors of 66700 and 66710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66700 and 66710.

How to find the GCF of 66700 and 66710?

We will first find the prime factorization of 66700 and 66710. After we will calculate the factors of 66700 and 66710 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 66710

Prime factors of 66710 are 2, 5, 7, 953. Prime factorization of 66710 in exponential form is:

66710 = 2¹ × 5¹ × 7¹ × 953¹

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 66710

List of positive integer factors of 66710 that divides 66700 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 953, 1906, 4765, 6671, 9530, 13342, 33355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66700 and 66710. The biggest common factor number is the GCF number.
So the greatest common factor 66700 and 66710 is 10.

Also check out the Least Common Multiple of 66700 and 66710