What is the Greatest Common Factor of 68208 and 68222?

Greatest common factor (GCF) of 68208 and 68222 is 14.

GCF(68208,68222) = 14

We will now calculate the prime factors of 68208 and 68222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68208 and 68222.

How to find the GCF of 68208 and 68222?

We will first find the prime factorization of 68208 and 68222. After we will calculate the factors of 68208 and 68222 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 68222

Prime factors of 68222 are 2, 7, 11, 443. Prime factorization of 68222 in exponential form is:

68222 = 2¹ × 7¹ × 11¹ × 443¹

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 68222

List of positive integer factors of 68222 that divides 68208 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 443, 886, 3101, 4873, 6202, 9746, 34111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68208 and 68222. The biggest common factor number is the GCF number.
So the greatest common factor 68208 and 68222 is 14.

Also check out the Least Common Multiple of 68208 and 68222