What is the Greatest Common Factor of 84412 and 84428?

Greatest common factor (GCF) of 84412 and 84428 is 4.

GCF(84412,84428) = 4

We will now calculate the prime factors of 84412 and 84428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84412 and 84428.

How to find the GCF of 84412 and 84428?

We will first find the prime factorization of 84412 and 84428. After we will calculate the factors of 84412 and 84428 and find the biggest common factor number .

Step-1: Prime Factorization of 84412

Prime factors of 84412 are 2, 47, 449. Prime factorization of 84412 in exponential form is:

84412 = 2² × 47¹ × 449¹

Step-2: Prime Factorization of 84428

Prime factors of 84428 are 2, 21107. Prime factorization of 84428 in exponential form is:

84428 = 2² × 21107¹

Step-3: Factors of 84412

List of positive integer factors of 84412 that divides 84412 without a remainder.

1, 2, 4, 47, 94, 188, 449, 898, 1796, 21103, 42206

Step-4: Factors of 84428

List of positive integer factors of 84428 that divides 84412 without a remainder.

1, 2, 4, 21107, 42214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84412 and 84428. The biggest common factor number is the GCF number.
So the greatest common factor 84412 and 84428 is 4.

Also check out the Least Common Multiple of 84412 and 84428