What is the Greatest Common Factor of 60900 and 60918?

Greatest common factor (GCF) of 60900 and 60918 is 6.

GCF(60900,60918) = 6

We will now calculate the prime factors of 60900 and 60918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60900 and 60918.

How to find the GCF of 60900 and 60918?

We will first find the prime factorization of 60900 and 60918. After we will calculate the factors of 60900 and 60918 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 60918

Prime factors of 60918 are 2, 3, 11, 13, 71. Prime factorization of 60918 in exponential form is:

60918 = 2¹ × 3¹ × 11¹ × 13¹ × 71¹

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 60918

List of positive integer factors of 60918 that divides 60900 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 71, 78, 142, 143, 213, 286, 426, 429, 781, 858, 923, 1562, 1846, 2343, 2769, 4686, 5538, 10153, 20306, 30459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60900 and 60918. The biggest common factor number is the GCF number.
So the greatest common factor 60900 and 60918 is 6.

Also check out the Least Common Multiple of 60900 and 60918