What is the Greatest Common Factor of 84617 and 84623?

Greatest common factor (GCF) of 84617 and 84623 is 1.

GCF(84617,84623) = 1

We will now calculate the prime factors of 84617 and 84623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84617 and 84623.

How to find the GCF of 84617 and 84623?

We will first find the prime factorization of 84617 and 84623. After we will calculate the factors of 84617 and 84623 and find the biggest common factor number .

Step-1: Prime Factorization of 84617

Prime factors of 84617 are 13, 23, 283. Prime factorization of 84617 in exponential form is:

84617 = 13¹ × 23¹ × 283¹

Step-2: Prime Factorization of 84623

Prime factors of 84623 are 7, 11, 157. Prime factorization of 84623 in exponential form is:

84623 = 7² × 11¹ × 157¹

Step-3: Factors of 84617

List of positive integer factors of 84617 that divides 84617 without a remainder.

1, 13, 23, 283, 299, 3679, 6509

Step-4: Factors of 84623

List of positive integer factors of 84623 that divides 84617 without a remainder.

1, 7, 11, 49, 77, 157, 539, 1099, 1727, 7693, 12089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84617 and 84623. The biggest common factor number is the GCF number.
So the greatest common factor 84617 and 84623 is 1.

Also check out the Least Common Multiple of 84617 and 84623