What is the Greatest Common Factor of 68138 and 68154?

Greatest common factor (GCF) of 68138 and 68154 is 2.

GCF(68138,68154) = 2

We will now calculate the prime factors of 68138 and 68154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68138 and 68154.

How to find the GCF of 68138 and 68154?

We will first find the prime factorization of 68138 and 68154. After we will calculate the factors of 68138 and 68154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68154

Prime factors of 68154 are 2, 3, 37, 307. Prime factorization of 68154 in exponential form is:

68154 = 2¹ × 3¹ × 37¹ × 307¹

Step-3: Factors of 68138

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

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

Step-4: Factors of 68154

List of positive integer factors of 68154 that divides 68138 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 307, 614, 921, 1842, 11359, 22718, 34077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68138 and 68154. The biggest common factor number is the GCF number.
So the greatest common factor 68138 and 68154 is 2.

Also check out the Least Common Multiple of 68138 and 68154