What is the Greatest Common Factor of 68128 and 68142?

Greatest common factor (GCF) of 68128 and 68142 is 2.

GCF(68128,68142) = 2

We will now calculate the prime factors of 68128 and 68142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68128 and 68142.

How to find the GCF of 68128 and 68142?

We will first find the prime factorization of 68128 and 68142. After we will calculate the factors of 68128 and 68142 and find the biggest common factor number .

Step-1: Prime Factorization of 68128

Prime factors of 68128 are 2, 2129. Prime factorization of 68128 in exponential form is:

68128 = 2⁵ × 2129¹

Step-2: Prime Factorization of 68142

Prime factors of 68142 are 2, 3, 41, 277. Prime factorization of 68142 in exponential form is:

68142 = 2¹ × 3¹ × 41¹ × 277¹

Step-3: Factors of 68128

List of positive integer factors of 68128 that divides 68128 without a remainder.

1, 2, 4, 8, 16, 32, 2129, 4258, 8516, 17032, 34064

Step-4: Factors of 68142

List of positive integer factors of 68142 that divides 68128 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 277, 554, 831, 1662, 11357, 22714, 34071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68128 and 68142. The biggest common factor number is the GCF number.
So the greatest common factor 68128 and 68142 is 2.

Also check out the Least Common Multiple of 68128 and 68142