What is the Greatest Common Factor of 66160 and 66170?

Greatest common factor (GCF) of 66160 and 66170 is 10.

GCF(66160,66170) = 10

We will now calculate the prime factors of 66160 and 66170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66160 and 66170.

How to find the GCF of 66160 and 66170?

We will first find the prime factorization of 66160 and 66170. After we will calculate the factors of 66160 and 66170 and find the biggest common factor number .

Step-1: Prime Factorization of 66160

Prime factors of 66160 are 2, 5, 827. Prime factorization of 66160 in exponential form is:

66160 = 2⁴ × 5¹ × 827¹

Step-2: Prime Factorization of 66170

Prime factors of 66170 are 2, 5, 13, 509. Prime factorization of 66170 in exponential form is:

66170 = 2¹ × 5¹ × 13¹ × 509¹

Step-3: Factors of 66160

List of positive integer factors of 66160 that divides 66160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 827, 1654, 3308, 4135, 6616, 8270, 13232, 16540, 33080

Step-4: Factors of 66170

List of positive integer factors of 66170 that divides 66160 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 509, 1018, 2545, 5090, 6617, 13234, 33085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66160 and 66170. The biggest common factor number is the GCF number.
So the greatest common factor 66160 and 66170 is 10.

Also check out the Least Common Multiple of 66160 and 66170