What is the Greatest Common Factor of 84916 and 84928?

Greatest common factor (GCF) of 84916 and 84928 is 4.

GCF(84916,84928) = 4

We will now calculate the prime factors of 84916 and 84928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84916 and 84928.

How to find the GCF of 84916 and 84928?

We will first find the prime factorization of 84916 and 84928. After we will calculate the factors of 84916 and 84928 and find the biggest common factor number .

Step-1: Prime Factorization of 84916

Prime factors of 84916 are 2, 13, 23, 71. Prime factorization of 84916 in exponential form is:

84916 = 2² × 13¹ × 23¹ × 71¹

Step-2: Prime Factorization of 84928

Prime factors of 84928 are 2, 1327. Prime factorization of 84928 in exponential form is:

84928 = 2⁶ × 1327¹

Step-3: Factors of 84916

List of positive integer factors of 84916 that divides 84916 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 71, 92, 142, 284, 299, 598, 923, 1196, 1633, 1846, 3266, 3692, 6532, 21229, 42458

Step-4: Factors of 84928

List of positive integer factors of 84928 that divides 84916 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1327, 2654, 5308, 10616, 21232, 42464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84916 and 84928. The biggest common factor number is the GCF number.
So the greatest common factor 84916 and 84928 is 4.

Also check out the Least Common Multiple of 84916 and 84928