What is the Greatest Common Factor of 66470 and 66487?

Greatest common factor (GCF) of 66470 and 66487 is 17.

GCF(66470,66487) = 17

We will now calculate the prime factors of 66470 and 66487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66470 and 66487.

How to find the GCF of 66470 and 66487?

We will first find the prime factorization of 66470 and 66487. After we will calculate the factors of 66470 and 66487 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 66487

Prime factors of 66487 are 17, 3911. Prime factorization of 66487 in exponential form is:

66487 = 17¹ × 3911¹

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 66487

List of positive integer factors of 66487 that divides 66470 without a remainder.

1, 17, 3911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66470 and 66487. The biggest common factor number is the GCF number.
So the greatest common factor 66470 and 66487 is 17.

Also check out the Least Common Multiple of 66470 and 66487