What is the Greatest Common Factor of 82909 and 82916?

Greatest common factor (GCF) of 82909 and 82916 is 1.

GCF(82909,82916) = 1

We will now calculate the prime factors of 82909 and 82916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82909 and 82916.

How to find the GCF of 82909 and 82916?

We will first find the prime factorization of 82909 and 82916. After we will calculate the factors of 82909 and 82916 and find the biggest common factor number .

Step-1: Prime Factorization of 82909

Prime factors of 82909 are 17, 4877. Prime factorization of 82909 in exponential form is:

82909 = 17¹ × 4877¹

Step-2: Prime Factorization of 82916

Prime factors of 82916 are 2, 19, 1091. Prime factorization of 82916 in exponential form is:

82916 = 2² × 19¹ × 1091¹

Step-3: Factors of 82909

List of positive integer factors of 82909 that divides 82909 without a remainder.

1, 17, 4877

Step-4: Factors of 82916

List of positive integer factors of 82916 that divides 82909 without a remainder.

1, 2, 4, 19, 38, 76, 1091, 2182, 4364, 20729, 41458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82909 and 82916. The biggest common factor number is the GCF number.
So the greatest common factor 82909 and 82916 is 1.

Also check out the Least Common Multiple of 82909 and 82916