What is the Greatest Common Factor of 68144 and 68162?

Greatest common factor (GCF) of 68144 and 68162 is 2.

GCF(68144,68162) = 2

We will now calculate the prime factors of 68144 and 68162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68144 and 68162.

How to find the GCF of 68144 and 68162?

We will first find the prime factorization of 68144 and 68162. After we will calculate the factors of 68144 and 68162 and find the biggest common factor number .

Step-1: Prime Factorization of 68144

Prime factors of 68144 are 2, 4259. Prime factorization of 68144 in exponential form is:

68144 = 2⁴ × 4259¹

Step-2: Prime Factorization of 68162

Prime factors of 68162 are 2, 173, 197. Prime factorization of 68162 in exponential form is:

68162 = 2¹ × 173¹ × 197¹

Step-3: Factors of 68144

List of positive integer factors of 68144 that divides 68144 without a remainder.

1, 2, 4, 8, 16, 4259, 8518, 17036, 34072

Step-4: Factors of 68162

List of positive integer factors of 68162 that divides 68144 without a remainder.

1, 2, 173, 197, 346, 394, 34081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68144 and 68162. The biggest common factor number is the GCF number.
So the greatest common factor 68144 and 68162 is 2.

Also check out the Least Common Multiple of 68144 and 68162