What is the Greatest Common Factor of 66470 and 66490?

Greatest common factor (GCF) of 66470 and 66490 is 10.

GCF(66470,66490) = 10

We will now calculate the prime factors of 66470 and 66490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66470 and 66490.

How to find the GCF of 66470 and 66490?

We will first find the prime factorization of 66470 and 66490. After we will calculate the factors of 66470 and 66490 and find the biggest common factor number .

Step-1: Prime Factorization of 66470

Prime factors of 66470 are 2, 5, 17, 23. Prime factorization of 66470 in exponential form is:

66470 = 2¹ × 5¹ × 17² × 23¹

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 66470

List of positive integer factors of 66470 that divides 66470 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 289, 391, 578, 782, 1445, 1955, 2890, 3910, 6647, 13294, 33235

Step-4: Factors of 66490

List of positive integer factors of 66490 that divides 66470 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 66470 and 66490. The biggest common factor number is the GCF number.
So the greatest common factor 66470 and 66490 is 10.

Also check out the Least Common Multiple of 66470 and 66490