What is the Greatest Common Factor of 60459 and 60471?

Greatest common factor (GCF) of 60459 and 60471 is 3.

GCF(60459,60471) = 3

We will now calculate the prime factors of 60459 and 60471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60459 and 60471.

How to find the GCF of 60459 and 60471?

We will first find the prime factorization of 60459 and 60471. After we will calculate the factors of 60459 and 60471 and find the biggest common factor number .

Step-1: Prime Factorization of 60459

Prime factors of 60459 are 3, 7, 2879. Prime factorization of 60459 in exponential form is:

60459 = 3¹ × 7¹ × 2879¹

Step-2: Prime Factorization of 60471

Prime factors of 60471 are 3, 6719. Prime factorization of 60471 in exponential form is:

60471 = 3² × 6719¹

Step-3: Factors of 60459

List of positive integer factors of 60459 that divides 60459 without a remainder.

1, 3, 7, 21, 2879, 8637, 20153

Step-4: Factors of 60471

List of positive integer factors of 60471 that divides 60459 without a remainder.

1, 3, 9, 6719, 20157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60459 and 60471. The biggest common factor number is the GCF number.
So the greatest common factor 60459 and 60471 is 3.

Also check out the Least Common Multiple of 60459 and 60471