What is the Greatest Common Factor of 42379 and 42398?

Greatest common factor (GCF) of 42379 and 42398 is 1.

GCF(42379,42398) = 1

We will now calculate the prime factors of 42379 and 42398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42379 and 42398.

How to find the GCF of 42379 and 42398?

We will first find the prime factorization of 42379 and 42398. After we will calculate the factors of 42379 and 42398 and find the biggest common factor number .

Step-1: Prime Factorization of 42379

Prime factors of 42379 are 42379. Prime factorization of 42379 in exponential form is:

42379 = 42379¹

Step-2: Prime Factorization of 42398

Prime factors of 42398 are 2, 17, 29, 43. Prime factorization of 42398 in exponential form is:

42398 = 2¹ × 17¹ × 29¹ × 43¹

Step-3: Factors of 42379

List of positive integer factors of 42379 that divides 42379 without a remainder.

Step-4: Factors of 42398

List of positive integer factors of 42398 that divides 42379 without a remainder.

1, 2, 17, 29, 34, 43, 58, 86, 493, 731, 986, 1247, 1462, 2494, 21199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42379 and 42398. The biggest common factor number is the GCF number.
So the greatest common factor 42379 and 42398 is 1.

Also check out the Least Common Multiple of 42379 and 42398