What is the Greatest Common Factor of 68224 and 68241?

Greatest common factor (GCF) of 68224 and 68241 is 1.

GCF(68224,68241) = 1

We will now calculate the prime factors of 68224 and 68241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68224 and 68241.

How to find the GCF of 68224 and 68241?

We will first find the prime factorization of 68224 and 68241. After we will calculate the factors of 68224 and 68241 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 68241

Prime factors of 68241 are 3, 23, 43. Prime factorization of 68241 in exponential form is:

68241 = 3¹ × 23² × 43¹

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 68241

List of positive integer factors of 68241 that divides 68224 without a remainder.

1, 3, 23, 43, 69, 129, 529, 989, 1587, 2967, 22747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68224 and 68241. The biggest common factor number is the GCF number.
So the greatest common factor 68224 and 68241 is 1.

Also check out the Least Common Multiple of 68224 and 68241