What is the Greatest Common Factor of 82928 and 82945?

Greatest common factor (GCF) of 82928 and 82945 is 1.

GCF(82928,82945) = 1

We will now calculate the prime factors of 82928 and 82945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82928 and 82945.

How to find the GCF of 82928 and 82945?

We will first find the prime factorization of 82928 and 82945. After we will calculate the factors of 82928 and 82945 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82945

Prime factors of 82945 are 5, 53, 313. Prime factorization of 82945 in exponential form is:

82945 = 5¹ × 53¹ × 313¹

Step-3: Factors of 82928

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

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

Step-4: Factors of 82945

List of positive integer factors of 82945 that divides 82928 without a remainder.

1, 5, 53, 265, 313, 1565, 16589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82928 and 82945. The biggest common factor number is the GCF number.
So the greatest common factor 82928 and 82945 is 1.

Also check out the Least Common Multiple of 82928 and 82945