What is the Greatest Common Factor of 68208 and 68224?

Greatest common factor (GCF) of 68208 and 68224 is 16.

GCF(68208,68224) = 16

We will now calculate the prime factors of 68208 and 68224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68208 and 68224.

How to find the GCF of 68208 and 68224?

We will first find the prime factorization of 68208 and 68224. After we will calculate the factors of 68208 and 68224 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 68224

Prime factors of 68224 are 2, 13, 41. Prime factorization of 68224 in exponential form is:

68224 = 2⁷ × 13¹ × 41¹

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 68224

List of positive integer factors of 68224 that divides 68208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 41, 52, 64, 82, 104, 128, 164, 208, 328, 416, 533, 656, 832, 1066, 1312, 1664, 2132, 2624, 4264, 5248, 8528, 17056, 34112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68208 and 68224. The biggest common factor number is the GCF number.
So the greatest common factor 68208 and 68224 is 16.

Also check out the Least Common Multiple of 68208 and 68224