What is the Greatest Common Factor of 82924 and 82928?

Greatest common factor (GCF) of 82924 and 82928 is 4.

GCF(82924,82928) = 4

We will now calculate the prime factors of 82924 and 82928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82924 and 82928.

How to find the GCF of 82924 and 82928?

We will first find the prime factorization of 82924 and 82928. After we will calculate the factors of 82924 and 82928 and find the biggest common factor number .

Step-1: Prime Factorization of 82924

Prime factors of 82924 are 2, 20731. Prime factorization of 82924 in exponential form is:

82924 = 2² × 20731¹

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 82924

List of positive integer factors of 82924 that divides 82924 without a remainder.

1, 2, 4, 20731, 41462

Step-4: Factors of 82928

List of positive integer factors of 82928 that divides 82924 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 82924 and 82928. The biggest common factor number is the GCF number.
So the greatest common factor 82924 and 82928 is 4.

Also check out the Least Common Multiple of 82924 and 82928