What is the Greatest Common Factor of 68189 and 68208?

Greatest common factor (GCF) of 68189 and 68208 is 1.

GCF(68189,68208) = 1

We will now calculate the prime factors of 68189 and 68208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68189 and 68208.

How to find the GCF of 68189 and 68208?

We will first find the prime factorization of 68189 and 68208. After we will calculate the factors of 68189 and 68208 and find the biggest common factor number .

Step-1: Prime Factorization of 68189

Prime factors of 68189 are 11, 6199. Prime factorization of 68189 in exponential form is:

68189 = 11¹ × 6199¹

Step-2: 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-3: Factors of 68189

List of positive integer factors of 68189 that divides 68189 without a remainder.

1, 11, 6199

Step-4: Factors of 68208

List of positive integer factors of 68208 that divides 68189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68189 and 68208. The biggest common factor number is the GCF number.
So the greatest common factor 68189 and 68208 is 1.

Also check out the Least Common Multiple of 68189 and 68208