What is the Greatest Common Factor of 84400 and 84418?

Greatest common factor (GCF) of 84400 and 84418 is 2.

GCF(84400,84418) = 2

We will now calculate the prime factors of 84400 and 84418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84400 and 84418.

How to find the GCF of 84400 and 84418?

We will first find the prime factorization of 84400 and 84418. After we will calculate the factors of 84400 and 84418 and find the biggest common factor number .

Step-1: Prime Factorization of 84400

Prime factors of 84400 are 2, 5, 211. Prime factorization of 84400 in exponential form is:

84400 = 2⁴ × 5² × 211¹

Step-2: Prime Factorization of 84418

Prime factors of 84418 are 2, 42209. Prime factorization of 84418 in exponential form is:

84418 = 2¹ × 42209¹

Step-3: Factors of 84400

List of positive integer factors of 84400 that divides 84400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 211, 400, 422, 844, 1055, 1688, 2110, 3376, 4220, 5275, 8440, 10550, 16880, 21100, 42200

Step-4: Factors of 84418

List of positive integer factors of 84418 that divides 84400 without a remainder.

1, 2, 42209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84400 and 84418. The biggest common factor number is the GCF number.
So the greatest common factor 84400 and 84418 is 2.

Also check out the Least Common Multiple of 84400 and 84418