What is the Greatest Common Factor of 68128 and 68138?

Greatest common factor (GCF) of 68128 and 68138 is 2.

GCF(68128,68138) = 2

We will now calculate the prime factors of 68128 and 68138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68128 and 68138.

How to find the GCF of 68128 and 68138?

We will first find the prime factorization of 68128 and 68138. After we will calculate the factors of 68128 and 68138 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 68138

Prime factors of 68138 are 2, 7, 31, 157. Prime factorization of 68138 in exponential form is:

68138 = 2¹ × 7¹ × 31¹ × 157¹

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 68138

List of positive integer factors of 68138 that divides 68128 without a remainder.

1, 2, 7, 14, 31, 62, 157, 217, 314, 434, 1099, 2198, 4867, 9734, 34069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68128 and 68138. The biggest common factor number is the GCF number.
So the greatest common factor 68128 and 68138 is 2.

Also check out the Least Common Multiple of 68128 and 68138