What is the Greatest Common Factor of 82928 and 82946?

Greatest common factor (GCF) of 82928 and 82946 is 2.

GCF(82928,82946) = 2

We will now calculate the prime factors of 82928 and 82946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82928 and 82946.

How to find the GCF of 82928 and 82946?

We will first find the prime factorization of 82928 and 82946. After we will calculate the factors of 82928 and 82946 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 82946

Prime factors of 82946 are 2, 67, 619. Prime factorization of 82946 in exponential form is:

82946 = 2¹ × 67¹ × 619¹

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 82946

List of positive integer factors of 82946 that divides 82928 without a remainder.

1, 2, 67, 134, 619, 1238, 41473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82928 and 82946. The biggest common factor number is the GCF number.
So the greatest common factor 82928 and 82946 is 2.

Also check out the Least Common Multiple of 82928 and 82946