What is the Greatest Common Factor of 60471 and 60489?

Greatest common factor (GCF) of 60471 and 60489 is 9.

GCF(60471,60489) = 9

We will now calculate the prime factors of 60471 and 60489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60471 and 60489.

How to find the GCF of 60471 and 60489?

We will first find the prime factorization of 60471 and 60489. After we will calculate the factors of 60471 and 60489 and find the biggest common factor number .

Step-1: Prime Factorization of 60471

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

60471 = 3² × 6719¹

Step-2: Prime Factorization of 60489

Prime factors of 60489 are 3, 11, 13, 47. Prime factorization of 60489 in exponential form is:

60489 = 3² × 11¹ × 13¹ × 47¹

Step-3: Factors of 60471

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

1, 3, 9, 6719, 20157

Step-4: Factors of 60489

List of positive integer factors of 60489 that divides 60471 without a remainder.

1, 3, 9, 11, 13, 33, 39, 47, 99, 117, 141, 143, 423, 429, 517, 611, 1287, 1551, 1833, 4653, 5499, 6721, 20163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60471 and 60489. The biggest common factor number is the GCF number.
So the greatest common factor 60471 and 60489 is 9.

Also check out the Least Common Multiple of 60471 and 60489