What is the Greatest Common Factor of 68152 and 68170?

Greatest common factor (GCF) of 68152 and 68170 is 2.

GCF(68152,68170) = 2

We will now calculate the prime factors of 68152 and 68170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68152 and 68170.

How to find the GCF of 68152 and 68170?

We will first find the prime factorization of 68152 and 68170. After we will calculate the factors of 68152 and 68170 and find the biggest common factor number .

Step-1: Prime Factorization of 68152

Prime factors of 68152 are 2, 7, 1217. Prime factorization of 68152 in exponential form is:

68152 = 2³ × 7¹ × 1217¹

Step-2: 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-3: Factors of 68152

List of positive integer factors of 68152 that divides 68152 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1217, 2434, 4868, 8519, 9736, 17038, 34076

Step-4: Factors of 68170

List of positive integer factors of 68170 that divides 68152 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68152 and 68170. The biggest common factor number is the GCF number.
So the greatest common factor 68152 and 68170 is 2.

Also check out the Least Common Multiple of 68152 and 68170