What is the Greatest Common Factor of 66790 and 66810?

Greatest common factor (GCF) of 66790 and 66810 is 10.

GCF(66790,66810) = 10

We will now calculate the prime factors of 66790 and 66810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66790 and 66810.

How to find the GCF of 66790 and 66810?

We will first find the prime factorization of 66790 and 66810. After we will calculate the factors of 66790 and 66810 and find the biggest common factor number .

Step-1: Prime Factorization of 66790

Prime factors of 66790 are 2, 5, 6679. Prime factorization of 66790 in exponential form is:

66790 = 2¹ × 5¹ × 6679¹

Step-2: Prime Factorization of 66810

Prime factors of 66810 are 2, 3, 5, 17, 131. Prime factorization of 66810 in exponential form is:

66810 = 2¹ × 3¹ × 5¹ × 17¹ × 131¹

Step-3: Factors of 66790

List of positive integer factors of 66790 that divides 66790 without a remainder.

1, 2, 5, 10, 6679, 13358, 33395

Step-4: Factors of 66810

List of positive integer factors of 66810 that divides 66790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 131, 170, 255, 262, 393, 510, 655, 786, 1310, 1965, 2227, 3930, 4454, 6681, 11135, 13362, 22270, 33405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66790 and 66810. The biggest common factor number is the GCF number.
So the greatest common factor 66790 and 66810 is 10.

Also check out the Least Common Multiple of 66790 and 66810