What is the Greatest Common Factor of 60409 and 60426?

Greatest common factor (GCF) of 60409 and 60426 is 1.

GCF(60409,60426) = 1

We will now calculate the prime factors of 60409 and 60426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60409 and 60426.

How to find the GCF of 60409 and 60426?

We will first find the prime factorization of 60409 and 60426. After we will calculate the factors of 60409 and 60426 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 60426

Prime factors of 60426 are 2, 3, 373. Prime factorization of 60426 in exponential form is:

60426 = 2¹ × 3⁴ × 373¹

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 60426

List of positive integer factors of 60426 that divides 60409 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 373, 746, 1119, 2238, 3357, 6714, 10071, 20142, 30213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60409 and 60426. The biggest common factor number is the GCF number.
So the greatest common factor 60409 and 60426 is 1.

Also check out the Least Common Multiple of 60409 and 60426