What is the Greatest Common Factor of 68085 and 68102?

Greatest common factor (GCF) of 68085 and 68102 is 17.

GCF(68085,68102) = 17

We will now calculate the prime factors of 68085 and 68102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68085 and 68102.

How to find the GCF of 68085 and 68102?

We will first find the prime factorization of 68085 and 68102. After we will calculate the factors of 68085 and 68102 and find the biggest common factor number .

Step-1: Prime Factorization of 68085

Prime factors of 68085 are 3, 5, 17, 89. Prime factorization of 68085 in exponential form is:

68085 = 3² × 5¹ × 17¹ × 89¹

Step-2: Prime Factorization of 68102

Prime factors of 68102 are 2, 17, 2003. Prime factorization of 68102 in exponential form is:

68102 = 2¹ × 17¹ × 2003¹

Step-3: Factors of 68085

List of positive integer factors of 68085 that divides 68085 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 89, 153, 255, 267, 445, 765, 801, 1335, 1513, 4005, 4539, 7565, 13617, 22695

Step-4: Factors of 68102

List of positive integer factors of 68102 that divides 68085 without a remainder.

1, 2, 17, 34, 2003, 4006, 34051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68085 and 68102. The biggest common factor number is the GCF number.
So the greatest common factor 68085 and 68102 is 17.

Also check out the Least Common Multiple of 68085 and 68102