What is the Greatest Common Factor of 82909 and 82928?

Greatest common factor (GCF) of 82909 and 82928 is 1.

GCF(82909,82928) = 1

We will now calculate the prime factors of 82909 and 82928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82909 and 82928.

How to find the GCF of 82909 and 82928?

We will first find the prime factorization of 82909 and 82928. After we will calculate the factors of 82909 and 82928 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 82928

Prime factors of 82928 are 2, 71, 73. Prime factorization of 82928 in exponential form is:

82928 = 2⁴ × 71¹ × 73¹

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 82928

List of positive integer factors of 82928 that divides 82909 without a remainder.

1, 2, 4, 8, 16, 71, 73, 142, 146, 284, 292, 568, 584, 1136, 1168, 5183, 10366, 20732, 41464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82909 and 82928. The biggest common factor number is the GCF number.
So the greatest common factor 82909 and 82928 is 1.

Also check out the Least Common Multiple of 82909 and 82928