What is the Greatest Common Factor of 24150 and 24162?

Greatest common factor (GCF) of 24150 and 24162 is 6.

GCF(24150,24162) = 6

We will now calculate the prime factors of 24150 and 24162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24150 and 24162.

How to find the GCF of 24150 and 24162?

We will first find the prime factorization of 24150 and 24162. After we will calculate the factors of 24150 and 24162 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 24162

Prime factors of 24162 are 2, 3, 4027. Prime factorization of 24162 in exponential form is:

24162 = 2¹ × 3¹ × 4027¹

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 24162

List of positive integer factors of 24162 that divides 24150 without a remainder.

1, 2, 3, 6, 4027, 8054, 12081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24150 and 24162. The biggest common factor number is the GCF number.
So the greatest common factor 24150 and 24162 is 6.

Also check out the Least Common Multiple of 24150 and 24162