What is the Greatest Common Factor of 24132 and 24150?

Greatest common factor (GCF) of 24132 and 24150 is 6.

GCF(24132,24150) = 6

We will now calculate the prime factors of 24132 and 24150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24132 and 24150.

How to find the GCF of 24132 and 24150?

We will first find the prime factorization of 24132 and 24150. After we will calculate the factors of 24132 and 24150 and find the biggest common factor number .

Step-1: Prime Factorization of 24132

Prime factors of 24132 are 2, 3, 2011. Prime factorization of 24132 in exponential form is:

24132 = 2² × 3¹ × 2011¹

Step-2: Prime Factorization of 24150

Prime factors of 24150 are 2, 3, 5, 7, 23. Prime factorization of 24150 in exponential form is:

24150 = 2¹ × 3¹ × 5² × 7¹ × 23¹

Step-3: Factors of 24132

List of positive integer factors of 24132 that divides 24132 without a remainder.

1, 2, 3, 4, 6, 12, 2011, 4022, 6033, 8044, 12066

Step-4: Factors of 24150

List of positive integer factors of 24150 that divides 24132 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 25, 30, 35, 42, 46, 50, 69, 70, 75, 105, 115, 138, 150, 161, 175, 210, 230, 322, 345, 350, 483, 525, 575, 690, 805, 966, 1050, 1150, 1610, 1725, 2415, 3450, 4025, 4830, 8050, 12075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24132 and 24150. The biggest common factor number is the GCF number.
So the greatest common factor 24132 and 24150 is 6.

Also check out the Least Common Multiple of 24132 and 24150