What is the Greatest Common Factor of 68838 and 68853?

Greatest common factor (GCF) of 68838 and 68853 is 3.

GCF(68838,68853) = 3

We will now calculate the prime factors of 68838 and 68853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68838 and 68853.

How to find the GCF of 68838 and 68853?

We will first find the prime factorization of 68838 and 68853. After we will calculate the factors of 68838 and 68853 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68853

Prime factors of 68853 are 3, 59, 389. Prime factorization of 68853 in exponential form is:

68853 = 3¹ × 59¹ × 389¹

Step-3: Factors of 68838

List of positive integer factors of 68838 that divides 68838 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

Step-4: Factors of 68853

List of positive integer factors of 68853 that divides 68838 without a remainder.

1, 3, 59, 177, 389, 1167, 22951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68838 and 68853. The biggest common factor number is the GCF number.
So the greatest common factor 68838 and 68853 is 3.

Also check out the Least Common Multiple of 68838 and 68853