What is the Greatest Common Factor of 24150 and 24168?

Greatest common factor (GCF) of 24150 and 24168 is 6.

GCF(24150,24168) = 6

We will now calculate the prime factors of 24150 and 24168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24150 and 24168.

How to find the GCF of 24150 and 24168?

We will first find the prime factorization of 24150 and 24168. After we will calculate the factors of 24150 and 24168 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24168

Prime factors of 24168 are 2, 3, 19, 53. Prime factorization of 24168 in exponential form is:

24168 = 2³ × 3¹ × 19¹ × 53¹

Step-3: Factors of 24150

List of positive integer factors of 24150 that divides 24150 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

Step-4: Factors of 24168

List of positive integer factors of 24168 that divides 24150 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 53, 57, 76, 106, 114, 152, 159, 212, 228, 318, 424, 456, 636, 1007, 1272, 2014, 3021, 4028, 6042, 8056, 12084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24150 and 24168. The biggest common factor number is the GCF number.
So the greatest common factor 24150 and 24168 is 6.

Also check out the Least Common Multiple of 24150 and 24168