What is the Greatest Common Factor of 68398 and 68418?

Greatest common factor (GCF) of 68398 and 68418 is 2.

GCF(68398,68418) = 2

We will now calculate the prime factors of 68398 and 68418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68398 and 68418.

How to find the GCF of 68398 and 68418?

We will first find the prime factorization of 68398 and 68418. After we will calculate the factors of 68398 and 68418 and find the biggest common factor number .

Step-1: Prime Factorization of 68398

Prime factors of 68398 are 2, 11, 3109. Prime factorization of 68398 in exponential form is:

68398 = 2¹ × 11¹ × 3109¹

Step-2: Prime Factorization of 68418

Prime factors of 68418 are 2, 3, 7, 181. Prime factorization of 68418 in exponential form is:

68418 = 2¹ × 3³ × 7¹ × 181¹

Step-3: Factors of 68398

List of positive integer factors of 68398 that divides 68398 without a remainder.

1, 2, 11, 22, 3109, 6218, 34199

Step-4: Factors of 68418

List of positive integer factors of 68418 that divides 68398 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 181, 189, 362, 378, 543, 1086, 1267, 1629, 2534, 3258, 3801, 4887, 7602, 9774, 11403, 22806, 34209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68398 and 68418. The biggest common factor number is the GCF number.
So the greatest common factor 68398 and 68418 is 2.

Also check out the Least Common Multiple of 68398 and 68418