What is the Greatest Common Factor of 84928 and 84940?

Greatest common factor (GCF) of 84928 and 84940 is 4.

GCF(84928,84940) = 4

We will now calculate the prime factors of 84928 and 84940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84928 and 84940.

How to find the GCF of 84928 and 84940?

We will first find the prime factorization of 84928 and 84940. After we will calculate the factors of 84928 and 84940 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 84940

Prime factors of 84940 are 2, 5, 31, 137. Prime factorization of 84940 in exponential form is:

84940 = 2² × 5¹ × 31¹ × 137¹

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 84940

List of positive integer factors of 84940 that divides 84928 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 137, 155, 274, 310, 548, 620, 685, 1370, 2740, 4247, 8494, 16988, 21235, 42470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84928 and 84940. The biggest common factor number is the GCF number.
So the greatest common factor 84928 and 84940 is 4.

Also check out the Least Common Multiple of 84928 and 84940