What is the Greatest Common Factor of 68105 and 68109?

Greatest common factor (GCF) of 68105 and 68109 is 1.

GCF(68105,68109) = 1

We will now calculate the prime factors of 68105 and 68109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68105 and 68109.

How to find the GCF of 68105 and 68109?

We will first find the prime factorization of 68105 and 68109. After we will calculate the factors of 68105 and 68109 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 68109

Prime factors of 68109 are 3, 73, 311. Prime factorization of 68109 in exponential form is:

68109 = 3¹ × 73¹ × 311¹

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 68109

List of positive integer factors of 68109 that divides 68105 without a remainder.

1, 3, 73, 219, 311, 933, 22703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68105 and 68109. The biggest common factor number is the GCF number.
So the greatest common factor 68105 and 68109 is 1.

Also check out the Least Common Multiple of 68105 and 68109