What is the Greatest Common Factor of 68896 and 68908?

Greatest common factor (GCF) of 68896 and 68908 is 4.

GCF(68896,68908) = 4

We will now calculate the prime factors of 68896 and 68908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68896 and 68908.

How to find the GCF of 68896 and 68908?

We will first find the prime factorization of 68896 and 68908. After we will calculate the factors of 68896 and 68908 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 68908

Prime factors of 68908 are 2, 7, 23, 107. Prime factorization of 68908 in exponential form is:

68908 = 2² × 7¹ × 23¹ × 107¹

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 68908

List of positive integer factors of 68908 that divides 68896 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 107, 161, 214, 322, 428, 644, 749, 1498, 2461, 2996, 4922, 9844, 17227, 34454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68896 and 68908. The biggest common factor number is the GCF number.
So the greatest common factor 68896 and 68908 is 4.

Also check out the Least Common Multiple of 68896 and 68908