What is the Greatest Common Factor of 68908 and 68912?

Greatest common factor (GCF) of 68908 and 68912 is 4.

GCF(68908,68912) = 4

We will now calculate the prime factors of 68908 and 68912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68908 and 68912.

How to find the GCF of 68908 and 68912?

We will first find the prime factorization of 68908 and 68912. After we will calculate the factors of 68908 and 68912 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68912

Prime factors of 68912 are 2, 59, 73. Prime factorization of 68912 in exponential form is:

68912 = 2⁴ × 59¹ × 73¹

Step-3: Factors of 68908

List of positive integer factors of 68908 that divides 68908 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

Step-4: Factors of 68912

List of positive integer factors of 68912 that divides 68908 without a remainder.

1, 2, 4, 8, 16, 59, 73, 118, 146, 236, 292, 472, 584, 944, 1168, 4307, 8614, 17228, 34456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68908 and 68912. The biggest common factor number is the GCF number.
So the greatest common factor 68908 and 68912 is 4.

Also check out the Least Common Multiple of 68908 and 68912