What is the Greatest Common Factor of 60414 and 60421?

Greatest common factor (GCF) of 60414 and 60421 is 1.

GCF(60414,60421) = 1

We will now calculate the prime factors of 60414 and 60421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60414 and 60421.

How to find the GCF of 60414 and 60421?

We will first find the prime factorization of 60414 and 60421. After we will calculate the factors of 60414 and 60421 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 60421

Prime factors of 60421 are 23, 37, 71. Prime factorization of 60421 in exponential form is:

60421 = 23¹ × 37¹ × 71¹

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 60421

List of positive integer factors of 60421 that divides 60414 without a remainder.

1, 23, 37, 71, 851, 1633, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60414 and 60421. The biggest common factor number is the GCF number.
So the greatest common factor 60414 and 60421 is 1.

Also check out the Least Common Multiple of 60414 and 60421