What is the Greatest Common Factor of 68908 and 68922?

Greatest common factor (GCF) of 68908 and 68922 is 14.

GCF(68908,68922) = 14

We will now calculate the prime factors of 68908 and 68922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68908 and 68922.

How to find the GCF of 68908 and 68922?

We will first find the prime factorization of 68908 and 68922. After we will calculate the factors of 68908 and 68922 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 68922

Prime factors of 68922 are 2, 3, 7, 547. Prime factorization of 68922 in exponential form is:

68922 = 2¹ × 3² × 7¹ × 547¹

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 68922

List of positive integer factors of 68922 that divides 68908 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 547, 1094, 1641, 3282, 3829, 4923, 7658, 9846, 11487, 22974, 34461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68908 and 68922. The biggest common factor number is the GCF number.
So the greatest common factor 68908 and 68922 is 14.

Also check out the Least Common Multiple of 68908 and 68922