What is the Greatest Common Factor of 68208 and 68223?

Greatest common factor (GCF) of 68208 and 68223 is 3.

GCF(68208,68223) = 3

We will now calculate the prime factors of 68208 and 68223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68208 and 68223.

How to find the GCF of 68208 and 68223?

We will first find the prime factorization of 68208 and 68223. After we will calculate the factors of 68208 and 68223 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 68223

Prime factors of 68223 are 3, 22741. Prime factorization of 68223 in exponential form is:

68223 = 3¹ × 22741¹

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 68223

List of positive integer factors of 68223 that divides 68208 without a remainder.

1, 3, 22741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68208 and 68223. The biggest common factor number is the GCF number.
So the greatest common factor 68208 and 68223 is 3.

Also check out the Least Common Multiple of 68208 and 68223