What is the Greatest Common Factor of 68208 and 68226?

Greatest common factor (GCF) of 68208 and 68226 is 6.

GCF(68208,68226) = 6

We will now calculate the prime factors of 68208 and 68226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68208 and 68226.

How to find the GCF of 68208 and 68226?

We will first find the prime factorization of 68208 and 68226. After we will calculate the factors of 68208 and 68226 and find the biggest common factor number .

Step-1: Prime Factorization of 68208

Prime factors of 68208 are 2, 3, 7, 29. Prime factorization of 68208 in exponential form is:

68208 = 2⁴ × 3¹ × 7² × 29¹

Step-2: Prime Factorization of 68226

Prime factors of 68226 are 2, 3, 83, 137. Prime factorization of 68226 in exponential form is:

68226 = 2¹ × 3¹ × 83¹ × 137¹

Step-3: Factors of 68208

List of positive integer factors of 68208 that divides 68208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 49, 56, 58, 84, 87, 98, 112, 116, 147, 168, 174, 196, 203, 232, 294, 336, 348, 392, 406, 464, 588, 609, 696, 784, 812, 1176, 1218, 1392, 1421, 1624, 2352, 2436, 2842, 3248, 4263, 4872, 5684, 8526, 9744, 11368, 17052, 22736, 34104

Step-4: Factors of 68226

List of positive integer factors of 68226 that divides 68208 without a remainder.

1, 2, 3, 6, 83, 137, 166, 249, 274, 411, 498, 822, 11371, 22742, 34113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68208 and 68226. The biggest common factor number is the GCF number.
So the greatest common factor 68208 and 68226 is 6.

Also check out the Least Common Multiple of 68208 and 68226