What is the Greatest Common Factor of 68065 and 68085?

Greatest common factor (GCF) of 68065 and 68085 is 5.

GCF(68065,68085) = 5

We will now calculate the prime factors of 68065 and 68085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68065 and 68085.

How to find the GCF of 68065 and 68085?

We will first find the prime factorization of 68065 and 68085. After we will calculate the factors of 68065 and 68085 and find the biggest common factor number .

Step-1: Prime Factorization of 68065

Prime factors of 68065 are 5, 13613. Prime factorization of 68065 in exponential form is:

68065 = 5¹ × 13613¹

Step-2: 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-3: Factors of 68065

List of positive integer factors of 68065 that divides 68065 without a remainder.

1, 5, 13613

Step-4: Factors of 68085

List of positive integer factors of 68085 that divides 68065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68065 and 68085. The biggest common factor number is the GCF number.
So the greatest common factor 68065 and 68085 is 5.

Also check out the Least Common Multiple of 68065 and 68085