What is the Greatest Common Factor of 68154 and 68158?

Greatest common factor (GCF) of 68154 and 68158 is 2.

GCF(68154,68158) = 2

We will now calculate the prime factors of 68154 and 68158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68154 and 68158.

How to find the GCF of 68154 and 68158?

We will first find the prime factorization of 68154 and 68158. After we will calculate the factors of 68154 and 68158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68158

Prime factors of 68158 are 2, 53, 643. Prime factorization of 68158 in exponential form is:

68158 = 2¹ × 53¹ × 643¹

Step-3: Factors of 68154

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

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

Step-4: Factors of 68158

List of positive integer factors of 68158 that divides 68154 without a remainder.

1, 2, 53, 106, 643, 1286, 34079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68154 and 68158. The biggest common factor number is the GCF number.
So the greatest common factor 68154 and 68158 is 2.

Also check out the Least Common Multiple of 68154 and 68158