What is the Greatest Common Factor of 59394 and 59398?

Greatest common factor (GCF) of 59394 and 59398 is 2.

GCF(59394,59398) = 2

We will now calculate the prime factors of 59394 and 59398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59394 and 59398.

How to find the GCF of 59394 and 59398?

We will first find the prime factorization of 59394 and 59398. After we will calculate the factors of 59394 and 59398 and find the biggest common factor number .

Step-1: Prime Factorization of 59394

Prime factors of 59394 are 2, 3, 19, 521. Prime factorization of 59394 in exponential form is:

59394 = 2¹ × 3¹ × 19¹ × 521¹

Step-2: Prime Factorization of 59398

Prime factors of 59398 are 2, 17, 1747. Prime factorization of 59398 in exponential form is:

59398 = 2¹ × 17¹ × 1747¹

Step-3: Factors of 59394

List of positive integer factors of 59394 that divides 59394 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 521, 1042, 1563, 3126, 9899, 19798, 29697

Step-4: Factors of 59398

List of positive integer factors of 59398 that divides 59394 without a remainder.

1, 2, 17, 34, 1747, 3494, 29699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59394 and 59398. The biggest common factor number is the GCF number.
So the greatest common factor 59394 and 59398 is 2.

Also check out the Least Common Multiple of 59394 and 59398