What is the Greatest Common Factor of 66475 and 66490?

Greatest common factor (GCF) of 66475 and 66490 is 5.

GCF(66475,66490) = 5

We will now calculate the prime factors of 66475 and 66490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66475 and 66490.

How to find the GCF of 66475 and 66490?

We will first find the prime factorization of 66475 and 66490. After we will calculate the factors of 66475 and 66490 and find the biggest common factor number .

Step-1: Prime Factorization of 66475

Prime factors of 66475 are 5, 2659. Prime factorization of 66475 in exponential form is:

66475 = 5² × 2659¹

Step-2: Prime Factorization of 66490

Prime factors of 66490 are 2, 5, 61, 109. Prime factorization of 66490 in exponential form is:

66490 = 2¹ × 5¹ × 61¹ × 109¹

Step-3: Factors of 66475

List of positive integer factors of 66475 that divides 66475 without a remainder.

1, 5, 25, 2659, 13295

Step-4: Factors of 66490

List of positive integer factors of 66490 that divides 66475 without a remainder.

1, 2, 5, 10, 61, 109, 122, 218, 305, 545, 610, 1090, 6649, 13298, 33245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66475 and 66490. The biggest common factor number is the GCF number.
So the greatest common factor 66475 and 66490 is 5.

Also check out the Least Common Multiple of 66475 and 66490