What is the Greatest Common Factor of 68224 and 68234?

Greatest common factor (GCF) of 68224 and 68234 is 2.

GCF(68224,68234) = 2

We will now calculate the prime factors of 68224 and 68234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68224 and 68234.

How to find the GCF of 68224 and 68234?

We will first find the prime factorization of 68224 and 68234. After we will calculate the factors of 68224 and 68234 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 68234

Prime factors of 68234 are 2, 109, 313. Prime factorization of 68234 in exponential form is:

68234 = 2¹ × 109¹ × 313¹

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 68234

List of positive integer factors of 68234 that divides 68224 without a remainder.

1, 2, 109, 218, 313, 626, 34117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68224 and 68234. The biggest common factor number is the GCF number.
So the greatest common factor 68224 and 68234 is 2.

Also check out the Least Common Multiple of 68224 and 68234