What is the Greatest Common Factor of 82928 and 82938?

Greatest common factor (GCF) of 82928 and 82938 is 2.

GCF(82928,82938) = 2

We will now calculate the prime factors of 82928 and 82938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82928 and 82938.

How to find the GCF of 82928 and 82938?

We will first find the prime factorization of 82928 and 82938. After we will calculate the factors of 82928 and 82938 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 82938

Prime factors of 82938 are 2, 3, 23, 601. Prime factorization of 82938 in exponential form is:

82938 = 2¹ × 3¹ × 23¹ × 601¹

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 82938

List of positive integer factors of 82938 that divides 82928 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 601, 1202, 1803, 3606, 13823, 27646, 41469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82928 and 82938. The biggest common factor number is the GCF number.
So the greatest common factor 82928 and 82938 is 2.

Also check out the Least Common Multiple of 82928 and 82938