What is the Greatest Common Factor of 60900 and 60909?

Greatest common factor (GCF) of 60900 and 60909 is 3.

GCF(60900,60909) = 3

We will now calculate the prime factors of 60900 and 60909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60900 and 60909.

How to find the GCF of 60900 and 60909?

We will first find the prime factorization of 60900 and 60909. After we will calculate the factors of 60900 and 60909 and find the biggest common factor number .

Step-1: Prime Factorization of 60900

Prime factors of 60900 are 2, 3, 5, 7, 29. Prime factorization of 60900 in exponential form is:

60900 = 2² × 3¹ × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 60909

Prime factors of 60909 are 3, 79, 257. Prime factorization of 60909 in exponential form is:

60909 = 3¹ × 79¹ × 257¹

Step-3: Factors of 60900

List of positive integer factors of 60900 that divides 60900 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 29, 30, 35, 42, 50, 58, 60, 70, 75, 84, 87, 100, 105, 116, 140, 145, 150, 174, 175, 203, 210, 290, 300, 348, 350, 406, 420, 435, 525, 580, 609, 700, 725, 812, 870, 1015, 1050, 1218, 1450, 1740, 2030, 2100, 2175, 2436, 2900, 3045, 4060, 4350, 5075, 6090, 8700, 10150, 12180, 15225, 20300, 30450

Step-4: Factors of 60909

List of positive integer factors of 60909 that divides 60900 without a remainder.

1, 3, 79, 237, 257, 771, 20303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60900 and 60909. The biggest common factor number is the GCF number.
So the greatest common factor 60900 and 60909 is 3.

Also check out the Least Common Multiple of 60900 and 60909