What is the Greatest Common Factor of 67678 and 67696?

Greatest common factor (GCF) of 67678 and 67696 is 2.

GCF(67678,67696) = 2

We will now calculate the prime factors of 67678 and 67696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67678 and 67696.

How to find the GCF of 67678 and 67696?

We will first find the prime factorization of 67678 and 67696. After we will calculate the factors of 67678 and 67696 and find the biggest common factor number .

Step-1: Prime Factorization of 67678

Prime factors of 67678 are 2, 13, 19, 137. Prime factorization of 67678 in exponential form is:

67678 = 2¹ × 13¹ × 19¹ × 137¹

Step-2: Prime Factorization of 67696

Prime factors of 67696 are 2, 4231. Prime factorization of 67696 in exponential form is:

67696 = 2⁴ × 4231¹

Step-3: Factors of 67678

List of positive integer factors of 67678 that divides 67678 without a remainder.

1, 2, 13, 19, 26, 38, 137, 247, 274, 494, 1781, 2603, 3562, 5206, 33839

Step-4: Factors of 67696

List of positive integer factors of 67696 that divides 67678 without a remainder.

1, 2, 4, 8, 16, 4231, 8462, 16924, 33848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67678 and 67696. The biggest common factor number is the GCF number.
So the greatest common factor 67678 and 67696 is 2.

Also check out the Least Common Multiple of 67678 and 67696