What is the Greatest Common Factor of 84928 and 84938?

Greatest common factor (GCF) of 84928 and 84938 is 2.

GCF(84928,84938) = 2

We will now calculate the prime factors of 84928 and 84938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84928 and 84938.

How to find the GCF of 84928 and 84938?

We will first find the prime factorization of 84928 and 84938. After we will calculate the factors of 84928 and 84938 and find the biggest common factor number .

Step-1: Prime Factorization of 84928

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

84928 = 2⁶ × 1327¹

Step-2: Prime Factorization of 84938

Prime factors of 84938 are 2, 7, 6067. Prime factorization of 84938 in exponential form is:

84938 = 2¹ × 7¹ × 6067¹

Step-3: Factors of 84928

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

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

Step-4: Factors of 84938

List of positive integer factors of 84938 that divides 84928 without a remainder.

1, 2, 7, 14, 6067, 12134, 42469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84928 and 84938. The biggest common factor number is the GCF number.
So the greatest common factor 84928 and 84938 is 2.

Also check out the Least Common Multiple of 84928 and 84938