What is the Greatest Common Factor of 82928 and 82937?

Greatest common factor (GCF) of 82928 and 82937 is 1.

GCF(82928,82937) = 1

We will now calculate the prime factors of 82928 and 82937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82928 and 82937.

How to find the GCF of 82928 and 82937?

We will first find the prime factorization of 82928 and 82937. After we will calculate the factors of 82928 and 82937 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 82937

Prime factors of 82937 are 197, 421. Prime factorization of 82937 in exponential form is:

82937 = 197¹ × 421¹

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 82937

List of positive integer factors of 82937 that divides 82928 without a remainder.

1, 197, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82928 and 82937. The biggest common factor number is the GCF number.
So the greatest common factor 82928 and 82937 is 1.

Also check out the Least Common Multiple of 82928 and 82937