What is the Greatest Common Factor of 68105 and 68112?

Greatest common factor (GCF) of 68105 and 68112 is 1.

GCF(68105,68112) = 1

We will now calculate the prime factors of 68105 and 68112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68105 and 68112.

How to find the GCF of 68105 and 68112?

We will first find the prime factorization of 68105 and 68112. After we will calculate the factors of 68105 and 68112 and find the biggest common factor number .

Step-1: Prime Factorization of 68105

Prime factors of 68105 are 5, 53, 257. Prime factorization of 68105 in exponential form is:

68105 = 5¹ × 53¹ × 257¹

Step-2: Prime Factorization of 68112

Prime factors of 68112 are 2, 3, 11, 43. Prime factorization of 68112 in exponential form is:

68112 = 2⁴ × 3² × 11¹ × 43¹

Step-3: Factors of 68105

List of positive integer factors of 68105 that divides 68105 without a remainder.

1, 5, 53, 257, 265, 1285, 13621

Step-4: Factors of 68112

List of positive integer factors of 68112 that divides 68105 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 43, 44, 48, 66, 72, 86, 88, 99, 129, 132, 144, 172, 176, 198, 258, 264, 344, 387, 396, 473, 516, 528, 688, 774, 792, 946, 1032, 1419, 1548, 1584, 1892, 2064, 2838, 3096, 3784, 4257, 5676, 6192, 7568, 8514, 11352, 17028, 22704, 34056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68105 and 68112. The biggest common factor number is the GCF number.
So the greatest common factor 68105 and 68112 is 1.

Also check out the Least Common Multiple of 68105 and 68112