What is the Greatest Common Factor of 84398 and 84402?

Greatest common factor (GCF) of 84398 and 84402 is 2.

GCF(84398,84402) = 2

We will now calculate the prime factors of 84398 and 84402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84398 and 84402.

How to find the GCF of 84398 and 84402?

We will first find the prime factorization of 84398 and 84402. After we will calculate the factors of 84398 and 84402 and find the biggest common factor number .

Step-1: Prime Factorization of 84398

Prime factors of 84398 are 2, 19, 2221. Prime factorization of 84398 in exponential form is:

84398 = 2¹ × 19¹ × 2221¹

Step-2: Prime Factorization of 84402

Prime factors of 84402 are 2, 3, 521. Prime factorization of 84402 in exponential form is:

84402 = 2¹ × 3⁴ × 521¹

Step-3: Factors of 84398

List of positive integer factors of 84398 that divides 84398 without a remainder.

1, 2, 19, 38, 2221, 4442, 42199

Step-4: Factors of 84402

List of positive integer factors of 84402 that divides 84398 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 521, 1042, 1563, 3126, 4689, 9378, 14067, 28134, 42201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84398 and 84402. The biggest common factor number is the GCF number.
So the greatest common factor 84398 and 84402 is 2.

Also check out the Least Common Multiple of 84398 and 84402