What is the Greatest Common Factor of 17060 and 17070?

Greatest common factor (GCF) of 17060 and 17070 is 10.

GCF(17060,17070) = 10

We will now calculate the prime factors of 17060 and 17070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17060 and 17070.

How to find the GCF of 17060 and 17070?

We will first find the prime factorization of 17060 and 17070. After we will calculate the factors of 17060 and 17070 and find the biggest common factor number .

Step-1: Prime Factorization of 17060

Prime factors of 17060 are 2, 5, 853. Prime factorization of 17060 in exponential form is:

17060 = 2² × 5¹ × 853¹

Step-2: Prime Factorization of 17070

Prime factors of 17070 are 2, 3, 5, 569. Prime factorization of 17070 in exponential form is:

17070 = 2¹ × 3¹ × 5¹ × 569¹

Step-3: Factors of 17060

List of positive integer factors of 17060 that divides 17060 without a remainder.

1, 2, 4, 5, 10, 20, 853, 1706, 3412, 4265, 8530

Step-4: Factors of 17070

List of positive integer factors of 17070 that divides 17060 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 569, 1138, 1707, 2845, 3414, 5690, 8535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17060 and 17070. The biggest common factor number is the GCF number.
So the greatest common factor 17060 and 17070 is 10.

Also check out the Least Common Multiple of 17060 and 17070