What is the Greatest Common Factor of 60900 and 60912?

Greatest common factor (GCF) of 60900 and 60912 is 12.

GCF(60900,60912) = 12

We will now calculate the prime factors of 60900 and 60912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60900 and 60912.

How to find the GCF of 60900 and 60912?

We will first find the prime factorization of 60900 and 60912. After we will calculate the factors of 60900 and 60912 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 60912

Prime factors of 60912 are 2, 3, 47. Prime factorization of 60912 in exponential form is:

60912 = 2⁴ × 3⁴ × 47¹

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 60912

List of positive integer factors of 60912 that divides 60900 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54, 72, 81, 94, 108, 141, 144, 162, 188, 216, 282, 324, 376, 423, 432, 564, 648, 752, 846, 1128, 1269, 1296, 1692, 2256, 2538, 3384, 3807, 5076, 6768, 7614, 10152, 15228, 20304, 30456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60900 and 60912. The biggest common factor number is the GCF number.
So the greatest common factor 60900 and 60912 is 12.

Also check out the Least Common Multiple of 60900 and 60912