What is the Greatest Common Factor of 68896 and 68904?

Greatest common factor (GCF) of 68896 and 68904 is 8.

GCF(68896,68904) = 8

We will now calculate the prime factors of 68896 and 68904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68896 and 68904.

How to find the GCF of 68896 and 68904?

We will first find the prime factorization of 68896 and 68904. After we will calculate the factors of 68896 and 68904 and find the biggest common factor number .

Step-1: Prime Factorization of 68896

Prime factors of 68896 are 2, 2153. Prime factorization of 68896 in exponential form is:

68896 = 2⁵ × 2153¹

Step-2: Prime Factorization of 68904

Prime factors of 68904 are 2, 3, 11, 29. Prime factorization of 68904 in exponential form is:

68904 = 2³ × 3³ × 11¹ × 29¹

Step-3: Factors of 68896

List of positive integer factors of 68896 that divides 68896 without a remainder.

1, 2, 4, 8, 16, 32, 2153, 4306, 8612, 17224, 34448

Step-4: Factors of 68904

List of positive integer factors of 68904 that divides 68896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 29, 33, 36, 44, 54, 58, 66, 72, 87, 88, 99, 108, 116, 132, 174, 198, 216, 232, 261, 264, 297, 319, 348, 396, 522, 594, 638, 696, 783, 792, 957, 1044, 1188, 1276, 1566, 1914, 2088, 2376, 2552, 2871, 3132, 3828, 5742, 6264, 7656, 8613, 11484, 17226, 22968, 34452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68896 and 68904. The biggest common factor number is the GCF number.
So the greatest common factor 68896 and 68904 is 8.

Also check out the Least Common Multiple of 68896 and 68904