What is the Greatest Common Factor of 84116 and 84128?

Greatest common factor (GCF) of 84116 and 84128 is 4.

GCF(84116,84128) = 4

We will now calculate the prime factors of 84116 and 84128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84116 and 84128.

How to find the GCF of 84116 and 84128?

We will first find the prime factorization of 84116 and 84128. After we will calculate the factors of 84116 and 84128 and find the biggest common factor number .

Step-1: Prime Factorization of 84116

Prime factors of 84116 are 2, 17, 1237. Prime factorization of 84116 in exponential form is:

84116 = 2² × 17¹ × 1237¹

Step-2: Prime Factorization of 84128

Prime factors of 84128 are 2, 11, 239. Prime factorization of 84128 in exponential form is:

84128 = 2⁵ × 11¹ × 239¹

Step-3: Factors of 84116

List of positive integer factors of 84116 that divides 84116 without a remainder.

1, 2, 4, 17, 34, 68, 1237, 2474, 4948, 21029, 42058

Step-4: Factors of 84128

List of positive integer factors of 84128 that divides 84116 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 239, 352, 478, 956, 1912, 2629, 3824, 5258, 7648, 10516, 21032, 42064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84116 and 84128. The biggest common factor number is the GCF number.
So the greatest common factor 84116 and 84128 is 4.

Also check out the Least Common Multiple of 84116 and 84128