What is the Greatest Common Factor of 60401 and 60420?

Greatest common factor (GCF) of 60401 and 60420 is 19.

GCF(60401,60420) = 19

We will now calculate the prime factors of 60401 and 60420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60401 and 60420.

How to find the GCF of 60401 and 60420?

We will first find the prime factorization of 60401 and 60420. After we will calculate the factors of 60401 and 60420 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60420

Prime factors of 60420 are 2, 3, 5, 19, 53. Prime factorization of 60420 in exponential form is:

60420 = 2² × 3¹ × 5¹ × 19¹ × 53¹

Step-3: Factors of 60401

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

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

Step-4: Factors of 60420

List of positive integer factors of 60420 that divides 60401 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 53, 57, 60, 76, 95, 106, 114, 159, 190, 212, 228, 265, 285, 318, 380, 530, 570, 636, 795, 1007, 1060, 1140, 1590, 2014, 3021, 3180, 4028, 5035, 6042, 10070, 12084, 15105, 20140, 30210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60401 and 60420. The biggest common factor number is the GCF number.
So the greatest common factor 60401 and 60420 is 19.

Also check out the Least Common Multiple of 60401 and 60420