What is the Greatest Common Factor of 68170 and 68174?

Greatest common factor (GCF) of 68170 and 68174 is 2.

GCF(68170,68174) = 2

We will now calculate the prime factors of 68170 and 68174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68170 and 68174.

How to find the GCF of 68170 and 68174?

We will first find the prime factorization of 68170 and 68174. After we will calculate the factors of 68170 and 68174 and find the biggest common factor number .

Step-1: Prime Factorization of 68170

Prime factors of 68170 are 2, 5, 17, 401. Prime factorization of 68170 in exponential form is:

68170 = 2¹ × 5¹ × 17¹ × 401¹

Step-2: Prime Factorization of 68174

Prime factors of 68174 are 2, 89, 383. Prime factorization of 68174 in exponential form is:

68174 = 2¹ × 89¹ × 383¹

Step-3: Factors of 68170

List of positive integer factors of 68170 that divides 68170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 401, 802, 2005, 4010, 6817, 13634, 34085

Step-4: Factors of 68174

List of positive integer factors of 68174 that divides 68170 without a remainder.

1, 2, 89, 178, 383, 766, 34087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68170 and 68174. The biggest common factor number is the GCF number.
So the greatest common factor 68170 and 68174 is 2.

Also check out the Least Common Multiple of 68170 and 68174