What is the Greatest Common Factor of 60382 and 60401?

Greatest common factor (GCF) of 60382 and 60401 is 19.

GCF(60382,60401) = 19

We will now calculate the prime factors of 60382 and 60401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60382 and 60401.

How to find the GCF of 60382 and 60401?

We will first find the prime factorization of 60382 and 60401. After we will calculate the factors of 60382 and 60401 and find the biggest common factor number .

Step-1: Prime Factorization of 60382

Prime factors of 60382 are 2, 7, 19, 227. Prime factorization of 60382 in exponential form is:

60382 = 2¹ × 7¹ × 19¹ × 227¹

Step-2: Prime Factorization of 60401

Prime factors of 60401 are 11, 17, 19. Prime factorization of 60401 in exponential form is:

60401 = 11¹ × 17² × 19¹

Step-3: Factors of 60382

List of positive integer factors of 60382 that divides 60382 without a remainder.

1, 2, 7, 14, 19, 38, 133, 227, 266, 454, 1589, 3178, 4313, 8626, 30191

Step-4: Factors of 60401

List of positive integer factors of 60401 that divides 60382 without a remainder.

1, 11, 17, 19, 187, 209, 289, 323, 3179, 3553, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60382 and 60401. The biggest common factor number is the GCF number.
So the greatest common factor 60382 and 60401 is 19.

Also check out the Least Common Multiple of 60382 and 60401