What is the Greatest Common Factor of 68065 and 68084?

Greatest common factor (GCF) of 68065 and 68084 is 1.

GCF(68065,68084) = 1

We will now calculate the prime factors of 68065 and 68084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68065 and 68084.

How to find the GCF of 68065 and 68084?

We will first find the prime factorization of 68065 and 68084. After we will calculate the factors of 68065 and 68084 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 68084

Prime factors of 68084 are 2, 17021. Prime factorization of 68084 in exponential form is:

68084 = 2² × 17021¹

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 68084

List of positive integer factors of 68084 that divides 68065 without a remainder.

1, 2, 4, 17021, 34042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68065 and 68084. The biggest common factor number is the GCF number.
So the greatest common factor 68065 and 68084 is 1.

Also check out the Least Common Multiple of 68065 and 68084