What is the Greatest Common Factor of 24150 and 24166?

Greatest common factor (GCF) of 24150 and 24166 is 2.

GCF(24150,24166) = 2

We will now calculate the prime factors of 24150 and 24166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24150 and 24166.

How to find the GCF of 24150 and 24166?

We will first find the prime factorization of 24150 and 24166. After we will calculate the factors of 24150 and 24166 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 24166

Prime factors of 24166 are 2, 43, 281. Prime factorization of 24166 in exponential form is:

24166 = 2¹ × 43¹ × 281¹

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 24166

List of positive integer factors of 24166 that divides 24150 without a remainder.

1, 2, 43, 86, 281, 562, 12083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24150 and 24166. The biggest common factor number is the GCF number.
So the greatest common factor 24150 and 24166 is 2.

Also check out the Least Common Multiple of 24150 and 24166