What is the Greatest Common Factor of 68864 and 68874?

Greatest common factor (GCF) of 68864 and 68874 is 2.

GCF(68864,68874) = 2

We will now calculate the prime factors of 68864 and 68874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68864 and 68874.

How to find the GCF of 68864 and 68874?

We will first find the prime factorization of 68864 and 68874. After we will calculate the factors of 68864 and 68874 and find the biggest common factor number .

Step-1: Prime Factorization of 68864

Prime factors of 68864 are 2, 269. Prime factorization of 68864 in exponential form is:

68864 = 2⁸ × 269¹

Step-2: Prime Factorization of 68874

Prime factors of 68874 are 2, 3, 13, 883. Prime factorization of 68874 in exponential form is:

68874 = 2¹ × 3¹ × 13¹ × 883¹

Step-3: Factors of 68864

List of positive integer factors of 68864 that divides 68864 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 269, 538, 1076, 2152, 4304, 8608, 17216, 34432

Step-4: Factors of 68874

List of positive integer factors of 68874 that divides 68864 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 883, 1766, 2649, 5298, 11479, 22958, 34437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68864 and 68874. The biggest common factor number is the GCF number.
So the greatest common factor 68864 and 68874 is 2.

Also check out the Least Common Multiple of 68864 and 68874