What is the Greatest Common Factor of 68224 and 68238?

Greatest common factor (GCF) of 68224 and 68238 is 2.

GCF(68224,68238) = 2

We will now calculate the prime factors of 68224 and 68238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68224 and 68238.

How to find the GCF of 68224 and 68238?

We will first find the prime factorization of 68224 and 68238. After we will calculate the factors of 68224 and 68238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68238

Prime factors of 68238 are 2, 3, 17, 223. Prime factorization of 68238 in exponential form is:

68238 = 2¹ × 3² × 17¹ × 223¹

Step-3: Factors of 68224

List of positive integer factors of 68224 that divides 68224 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

Step-4: Factors of 68238

List of positive integer factors of 68238 that divides 68224 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 223, 306, 446, 669, 1338, 2007, 3791, 4014, 7582, 11373, 22746, 34119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68224 and 68238. The biggest common factor number is the GCF number.
So the greatest common factor 68224 and 68238 is 2.

Also check out the Least Common Multiple of 68224 and 68238