What is the Greatest Common Factor of 68827 and 68838?

Greatest common factor (GCF) of 68827 and 68838 is 11.

GCF(68827,68838) = 11

We will now calculate the prime factors of 68827 and 68838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68827 and 68838.

How to find the GCF of 68827 and 68838?

We will first find the prime factorization of 68827 and 68838. After we will calculate the factors of 68827 and 68838 and find the biggest common factor number .

Step-1: Prime Factorization of 68827

Prime factors of 68827 are 11, 6257. Prime factorization of 68827 in exponential form is:

68827 = 11¹ × 6257¹

Step-2: Prime Factorization of 68838

Prime factors of 68838 are 2, 3, 7, 11, 149. Prime factorization of 68838 in exponential form is:

68838 = 2¹ × 3¹ × 7¹ × 11¹ × 149¹

Step-3: Factors of 68827

List of positive integer factors of 68827 that divides 68827 without a remainder.

1, 11, 6257

Step-4: Factors of 68838

List of positive integer factors of 68838 that divides 68827 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 149, 154, 231, 298, 447, 462, 894, 1043, 1639, 2086, 3129, 3278, 4917, 6258, 9834, 11473, 22946, 34419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68827 and 68838. The biggest common factor number is the GCF number.
So the greatest common factor 68827 and 68838 is 11.

Also check out the Least Common Multiple of 68827 and 68838