What is the Greatest Common Factor of 60489 and 60500?

Greatest common factor (GCF) of 60489 and 60500 is 11.

GCF(60489,60500) = 11

We will now calculate the prime factors of 60489 and 60500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60489 and 60500.

How to find the GCF of 60489 and 60500?

We will first find the prime factorization of 60489 and 60500. After we will calculate the factors of 60489 and 60500 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60500

Prime factors of 60500 are 2, 5, 11. Prime factorization of 60500 in exponential form is:

60500 = 2² × 5³ × 11²

Step-3: Factors of 60489

List of positive integer factors of 60489 that divides 60489 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

Step-4: Factors of 60500

List of positive integer factors of 60500 that divides 60489 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 125, 220, 242, 250, 275, 484, 500, 550, 605, 1100, 1210, 1375, 2420, 2750, 3025, 5500, 6050, 12100, 15125, 30250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60489 and 60500. The biggest common factor number is the GCF number.
So the greatest common factor 60489 and 60500 is 11.

Also check out the Least Common Multiple of 60489 and 60500