What is the Greatest Common Factor of 60414 and 60420?

Greatest common factor (GCF) of 60414 and 60420 is 6.

GCF(60414,60420) = 6

We will now calculate the prime factors of 60414 and 60420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60414 and 60420.

How to find the GCF of 60414 and 60420?

We will first find the prime factorization of 60414 and 60420. After we will calculate the factors of 60414 and 60420 and find the biggest common factor number .

Step-1: Prime Factorization of 60414

Prime factors of 60414 are 2, 3, 10069. Prime factorization of 60414 in exponential form is:

60414 = 2¹ × 3¹ × 10069¹

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 60414

List of positive integer factors of 60414 that divides 60414 without a remainder.

1, 2, 3, 6, 10069, 20138, 30207

Step-4: Factors of 60420

List of positive integer factors of 60420 that divides 60414 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 60414 and 60420. The biggest common factor number is the GCF number.
So the greatest common factor 60414 and 60420 is 6.

Also check out the Least Common Multiple of 60414 and 60420