What is the Greatest Common Factor of 59439 and 59454?

Greatest common factor (GCF) of 59439 and 59454 is 3.

GCF(59439,59454) = 3

We will now calculate the prime factors of 59439 and 59454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59439 and 59454.

How to find the GCF of 59439 and 59454?

We will first find the prime factorization of 59439 and 59454. After we will calculate the factors of 59439 and 59454 and find the biggest common factor number .

Step-1: Prime Factorization of 59439

Prime factors of 59439 are 3, 19813. Prime factorization of 59439 in exponential form is:

59439 = 3¹ × 19813¹

Step-2: Prime Factorization of 59454

Prime factors of 59454 are 2, 3, 367. Prime factorization of 59454 in exponential form is:

59454 = 2¹ × 3⁴ × 367¹

Step-3: Factors of 59439

List of positive integer factors of 59439 that divides 59439 without a remainder.

1, 3, 19813

Step-4: Factors of 59454

List of positive integer factors of 59454 that divides 59439 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 367, 734, 1101, 2202, 3303, 6606, 9909, 19818, 29727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59439 and 59454. The biggest common factor number is the GCF number.
So the greatest common factor 59439 and 59454 is 3.

Also check out the Least Common Multiple of 59439 and 59454