What is the Greatest Common Factor of 60414 and 60423?

Greatest common factor (GCF) of 60414 and 60423 is 3.

GCF(60414,60423) = 3

We will now calculate the prime factors of 60414 and 60423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60414 and 60423.

How to find the GCF of 60414 and 60423?

We will first find the prime factorization of 60414 and 60423. After we will calculate the factors of 60414 and 60423 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 60423

Prime factors of 60423 are 3, 11, 1831. Prime factorization of 60423 in exponential form is:

60423 = 3¹ × 11¹ × 1831¹

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 60423

List of positive integer factors of 60423 that divides 60414 without a remainder.

1, 3, 11, 33, 1831, 5493, 20141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60414 and 60423. The biggest common factor number is the GCF number.
So the greatest common factor 60414 and 60423 is 3.

Also check out the Least Common Multiple of 60414 and 60423