What is the Greatest Common Factor of 60409 and 60423?

Greatest common factor (GCF) of 60409 and 60423 is 1.

GCF(60409,60423) = 1

We will now calculate the prime factors of 60409 and 60423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60409 and 60423.

How to find the GCF of 60409 and 60423?

We will first find the prime factorization of 60409 and 60423. After we will calculate the factors of 60409 and 60423 and find the biggest common factor number .

Step-1: Prime Factorization of 60409

Prime factors of 60409 are 193, 313. Prime factorization of 60409 in exponential form is:

60409 = 193¹ × 313¹

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 60409

List of positive integer factors of 60409 that divides 60409 without a remainder.

1, 193, 313

Step-4: Factors of 60423

List of positive integer factors of 60423 that divides 60409 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60409 and 60423. The biggest common factor number is the GCF number.
So the greatest common factor 60409 and 60423 is 1.

Also check out the Least Common Multiple of 60409 and 60423