What is the Greatest Common Factor of 18600 and 18612?

Greatest common factor (GCF) of 18600 and 18612 is 12.

GCF(18600,18612) = 12

We will now calculate the prime factors of 18600 and 18612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18600 and 18612.

How to find the GCF of 18600 and 18612?

We will first find the prime factorization of 18600 and 18612. After we will calculate the factors of 18600 and 18612 and find the biggest common factor number .

Step-1: Prime Factorization of 18600

Prime factors of 18600 are 2, 3, 5, 31. Prime factorization of 18600 in exponential form is:

18600 = 2³ × 3¹ × 5² × 31¹

Step-2: Prime Factorization of 18612

Prime factors of 18612 are 2, 3, 11, 47. Prime factorization of 18612 in exponential form is:

18612 = 2² × 3² × 11¹ × 47¹

Step-3: Factors of 18600

List of positive integer factors of 18600 that divides 18600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 31, 40, 50, 60, 62, 75, 93, 100, 120, 124, 150, 155, 186, 200, 248, 300, 310, 372, 465, 600, 620, 744, 775, 930, 1240, 1550, 1860, 2325, 3100, 3720, 4650, 6200, 9300

Step-4: Factors of 18612

List of positive integer factors of 18612 that divides 18600 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 47, 66, 94, 99, 132, 141, 188, 198, 282, 396, 423, 517, 564, 846, 1034, 1551, 1692, 2068, 3102, 4653, 6204, 9306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18600 and 18612. The biggest common factor number is the GCF number.
So the greatest common factor 18600 and 18612 is 12.

Also check out the Least Common Multiple of 18600 and 18612