What is the Greatest Common Factor of 84379 and 84398?

Greatest common factor (GCF) of 84379 and 84398 is 19.

GCF(84379,84398) = 19

We will now calculate the prime factors of 84379 and 84398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84379 and 84398.

How to find the GCF of 84379 and 84398?

We will first find the prime factorization of 84379 and 84398. After we will calculate the factors of 84379 and 84398 and find the biggest common factor number .

Step-1: Prime Factorization of 84379

Prime factors of 84379 are 19, 4441. Prime factorization of 84379 in exponential form is:

84379 = 19¹ × 4441¹

Step-2: 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-3: Factors of 84379

List of positive integer factors of 84379 that divides 84379 without a remainder.

1, 19, 4441

Step-4: Factors of 84398

List of positive integer factors of 84398 that divides 84379 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84379 and 84398. The biggest common factor number is the GCF number.
So the greatest common factor 84379 and 84398 is 19.

Also check out the Least Common Multiple of 84379 and 84398